Explanation Given information: The integral is ∫ t t 2 + 1 d t Calculation: Take ∫ t t 2 + 1 d t (1) Substituting t 2 + 1 = w ⇒ 2 t d t = d w ⇒ t d t = d w 2 Using these in (1), we get ∫ t t 2 + 1 d t = ∫ 1 w

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

See similar textbooks

Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence t…

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Videos

Question

Chapter 6, Problem 56SYU

To determine

True or false:

The substitution w=t2+1 converts the integral ∫tt2+1dt into ∫12wdw.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 55SYU

Chapter 6, Problem 57SYU

Students have asked these similar questions

please dont use chat gpt

Chapter 6 Solutions

APPLIED CALCULUS-WILEYPLUS

Ch. 6.1 - Prob. 1P Ch. 6.1 - Prob. 2P Ch. 6.1 - Prob. 3P Ch. 6.1 - Prob. 4P Ch. 6.1 - Prob. 5P Ch. 6.1 - Prob. 6P Ch. 6.1 - Prob. 7P Ch. 6.1 - Prob. 8P Ch. 6.1 - Prob. 9P Ch. 6.1 - Prob. 10P

Ch. 6.1 - Prob. 11P Ch. 6.1 - Prob. 12P Ch. 6.1 - Prob. 13P Ch. 6.1 - Prob. 14P Ch. 6.1 - Prob. 15P Ch. 6.1 - Prob. 16P Ch. 6.1 - Prob. 17P Ch. 6.1 - Prob. 18P Ch. 6.1 - Prob. 19P Ch. 6.1 - Prob. 20P Ch. 6.1 - Prob. 21P Ch. 6.1 - Prob. 22P Ch. 6.1 - Prob. 23P Ch. 6.1 - Prob. 24P Ch. 6.1 - Prob. 25P Ch. 6.1 - Prob. 26P Ch. 6.1 - Prob. 27P Ch. 6.1 - Prob. 28P Ch. 6.1 - Prob. 29P Ch. 6.1 - Prob. 30P Ch. 6.1 - Prob. 31P Ch. 6.1 - Prob. 32P Ch. 6.1 - Prob. 33P Ch. 6.1 - Prob. 34P Ch. 6.1 - Prob. 35P Ch. 6.1 - Prob. 36P Ch. 6.1 - Prob. 37P Ch. 6.1 - Prob. 38P Ch. 6.1 - Prob. 39P Ch. 6.1 - Prob. 40P Ch. 6.1 - Prob. 41P Ch. 6.1 - Prob. 42P Ch. 6.1 - Prob. 43P Ch. 6.1 - Prob. 44P Ch. 6.2 - Prob. 1P Ch. 6.2 - Prob. 2P Ch. 6.2 - Prob. 3P Ch. 6.2 - Prob. 4P Ch. 6.2 - Prob. 5P Ch. 6.2 - Prob. 6P Ch. 6.2 - Prob. 7P Ch. 6.2 - Prob. 8P Ch. 6.2 - Prob. 9P Ch. 6.2 - Prob. 10P Ch. 6.2 - Prob. 11P Ch. 6.2 - Prob. 12P Ch. 6.2 - Prob. 13P Ch. 6.2 - Prob. 14P Ch. 6.2 - Prob. 15P Ch. 6.2 - Prob. 16P Ch. 6.2 - Prob. 17P Ch. 6.2 - Prob. 18P Ch. 6.2 - Prob. 19P Ch. 6.2 - Prob. 20P Ch. 6.2 - Prob. 21P Ch. 6.2 - Prob. 22P Ch. 6.2 - Prob. 23P Ch. 6.2 - Prob. 24P Ch. 6.2 - Prob. 25P Ch. 6.2 - Prob. 26P Ch. 6.2 - Prob. 27P Ch. 6.2 - Prob. 28P Ch. 6.2 - Prob. 29P Ch. 6.2 - Prob. 30P Ch. 6.2 - Prob. 31P Ch. 6.2 - Prob. 32P Ch. 6.2 - Prob. 33P Ch. 6.2 - Prob. 34P Ch. 6.2 - Prob. 35P Ch. 6.2 - Prob. 36P Ch. 6.2 - Prob. 37P Ch. 6.2 - Prob. 38P Ch. 6.2 - Prob. 39P Ch. 6.2 - Prob. 40P Ch. 6.2 - Prob. 41P Ch. 6.2 - Prob. 42P Ch. 6.2 - Prob. 43P Ch. 6.2 - Prob. 44P Ch. 6.2 - Prob. 45P Ch. 6.2 - Prob. 46P Ch. 6.2 - Prob. 47P Ch. 6.2 - Prob. 48P Ch. 6.2 - Prob. 49P Ch. 6.2 - Prob. 50P Ch. 6.2 - Prob. 51P Ch. 6.2 - Prob. 52P Ch. 6.2 - Prob. 53P Ch. 6.2 - Prob. 54P Ch. 6.2 - Prob. 55P Ch. 6.2 - Prob. 56P Ch. 6.2 - Prob. 57P Ch. 6.2 - Prob. 58P Ch. 6.2 - Prob. 59P Ch. 6.2 - Prob. 60P Ch. 6.2 - Prob. 61P Ch. 6.2 - Prob. 62P Ch. 6.2 - Prob. 63P Ch. 6.2 - Prob. 64P Ch. 6.2 - Prob. 65P Ch. 6.2 - Prob. 66P Ch. 6.2 - Prob. 67P Ch. 6.2 - Prob. 68P Ch. 6.2 - Prob. 69P Ch. 6.2 - Prob. 70P Ch. 6.2 - Prob. 71P Ch. 6.2 - Prob. 72P Ch. 6.2 - Prob. 73P Ch. 6.2 - Prob. 74P Ch. 6.2 - Prob. 75P Ch. 6.2 - Prob. 76P Ch. 6.2 - Prob. 77P Ch. 6.2 - Prob. 78P Ch. 6.2 - Prob. 79P Ch. 6.2 - Prob. 80P Ch. 6.2 - Prob. 81P Ch. 6.2 - Prob. 82P Ch. 6.2 - Prob. 83P Ch. 6.2 - Prob. 84P Ch. 6.2 - Prob. 85P Ch. 6.2 - Prob. 86P Ch. 6.2 - Prob. 87P Ch. 6.2 - Prob. 88P Ch. 6.2 - Prob. 89P Ch. 6.2 - Prob. 90P Ch. 6.2 - Prob. 91P Ch. 6.2 - Prob. 92P Ch. 6.2 - Prob. 93P Ch. 6.2 - Prob. 94P Ch. 6.2 - Prob. 95P Ch. 6.3 - Prob. 1P Ch. 6.3 - Prob. 2P Ch. 6.3 - Prob. 3P Ch. 6.3 - Prob. 4P Ch. 6.3 - Prob. 5P Ch. 6.3 - Prob. 6P Ch. 6.3 - Prob. 7P Ch. 6.3 - Prob. 8P Ch. 6.3 - Prob. 9P Ch. 6.3 - Prob. 10P Ch. 6.3 - Prob. 11P Ch. 6.3 - Prob. 12P Ch. 6.3 - Prob. 13P Ch. 6.3 - Prob. 14P Ch. 6.3 - Prob. 15P Ch. 6.3 - Prob. 16P Ch. 6.3 - Prob. 17P Ch. 6.3 - Prob. 18P Ch. 6.3 - Prob. 19P Ch. 6.3 - Prob. 20P Ch. 6.3 - Prob. 21P Ch. 6.3 - Prob. 22P Ch. 6.3 - Prob. 23P Ch. 6.3 - Prob. 24P Ch. 6.3 - Prob. 25P Ch. 6.3 - Prob. 26P Ch. 6.3 - Prob. 27P Ch. 6.3 - Prob. 28P Ch. 6.3 - Prob. 29P Ch. 6.3 - Prob. 30P Ch. 6.3 - Prob. 31P Ch. 6.3 - Prob. 32P Ch. 6.3 - Prob. 33P Ch. 6.3 - Prob. 34P Ch. 6.3 - Prob. 35P Ch. 6.3 - Prob. 36P Ch. 6.3 - Prob. 37P Ch. 6.3 - Prob. 38P Ch. 6.3 - Prob. 39P Ch. 6.3 - Prob. 40P Ch. 6.3 - Prob. 41P Ch. 6.4 - Prob. 1P Ch. 6.4 - Prob. 2P Ch. 6.4 - Prob. 3P Ch. 6.4 - Prob. 4P Ch. 6.4 - Prob. 5P Ch. 6.4 - Prob. 6P Ch. 6.4 - Prob. 7P Ch. 6.4 - Prob. 8P Ch. 6.4 - Prob. 9P Ch. 6.4 - Prob. 10P Ch. 6.4 - Prob. 11P Ch. 6.4 - Prob. 12P Ch. 6.4 - Prob. 13P Ch. 6.4 - Prob. 14P Ch. 6.4 - Prob. 15P Ch. 6.4 - Prob. 16P Ch. 6.4 - Prob. 17P Ch. 6.4 - Prob. 18P Ch. 6.4 - Prob. 19P Ch. 6.5 - Prob. 1P Ch. 6.5 - Prob. 2P Ch. 6.5 - Prob. 3P Ch. 6.5 - Prob. 4P Ch. 6.5 - Prob. 5P Ch. 6.5 - Prob. 6P Ch. 6.5 - Prob. 7P Ch. 6.5 - Prob. 8P Ch. 6.5 - Prob. 9P Ch. 6.5 - Prob. 10P Ch. 6.5 - Prob. 11P Ch. 6.5 - Prob. 12P Ch. 6.5 - Prob. 13P Ch. 6.5 - Prob. 14P Ch. 6.5 - Prob. 15P Ch. 6.5 - Prob. 16P Ch. 6.5 - Prob. 17P Ch. 6.5 - Prob. 18P Ch. 6.5 - Prob. 19P Ch. 6.5 - Prob. 20P Ch. 6.5 - Prob. 21P Ch. 6.5 - Prob. 22P Ch. 6.5 - Prob. 23P Ch. 6.5 - Prob. 24P Ch. 6.6 - Prob. 1P Ch. 6.6 - Prob. 2P Ch. 6.6 - Prob. 3P Ch. 6.6 - Prob. 4P Ch. 6.6 - Prob. 5P Ch. 6.6 - Prob. 6P Ch. 6.6 - Prob. 7P Ch. 6.6 - Prob. 8P Ch. 6.6 - Prob. 9P Ch. 6.6 - Prob. 10P Ch. 6.6 - Prob. 11P Ch. 6.6 - Prob. 12P Ch. 6.6 - Prob. 13P Ch. 6.6 - Prob. 14P Ch. 6.6 - Prob. 15P Ch. 6.6 - Prob. 16P Ch. 6.6 - Prob. 17P Ch. 6.6 - Prob. 18P Ch. 6.6 - Prob. 19P Ch. 6.6 - Prob. 20P Ch. 6.6 - Prob. 21P Ch. 6.6 - Prob. 22P Ch. 6.6 - Prob. 23P Ch. 6.6 - Prob. 24P Ch. 6.6 - Prob. 25P Ch. 6.6 - Prob. 26P Ch. 6.6 - Prob. 27P Ch. 6.6 - Prob. 28P Ch. 6.6 - Prob. 29P Ch. 6.6 - Prob. 30P Ch. 6.6 - Prob. 31P Ch. 6.6 - Prob. 32P Ch. 6.6 - Prob. 33P Ch. 6.6 - Prob. 34P Ch. 6.6 - Prob. 35P Ch. 6.6 - Prob. 36P Ch. 6.6 - Prob. 37P Ch. 6.6 - Prob. 38P Ch. 6.6 - Prob. 39P Ch. 6.6 - Prob. 40P Ch. 6.6 - Prob. 41P Ch. 6.6 - Prob. 42P Ch. 6.6 - Prob. 43P Ch. 6.6 - Prob. 44P Ch. 6.6 - Prob. 45P Ch. 6.6 - Prob. 46P Ch. 6.6 - Prob. 47P Ch. 6.6 - Prob. 48P Ch. 6.6 - Prob. 49P Ch. 6.6 - Prob. 50P Ch. 6.6 - Prob. 51P Ch. 6.6 - Prob. 52P Ch. 6.6 - Prob. 53P Ch. 6.6 - Prob. 54P Ch. 6.6 - Prob. 55P Ch. 6.6 - Prob. 56P Ch. 6.6 - Prob. 57P Ch. 6.6 - Prob. 58P Ch. 6.6 - Prob. 59P Ch. 6.6 - Prob. 60P Ch. 6.6 - Prob. 61P Ch. 6.6 - Prob. 62P Ch. 6.6 - Prob. 63P Ch. 6.6 - Prob. 64P Ch. 6.6 - Prob. 65P Ch. 6.6 - Prob. 66P Ch. 6.6 - Prob. 67P Ch. 6.6 - Prob. 68P Ch. 6.7 - Prob. 1P Ch. 6.7 - Prob. 2P Ch. 6.7 - Prob. 3P Ch. 6.7 - Prob. 4P Ch. 6.7 - Prob. 5P Ch. 6.7 - Prob. 6P Ch. 6.7 - Prob. 7P Ch. 6.7 - Prob. 8P Ch. 6.7 - Prob. 9P Ch. 6.7 - Prob. 10P Ch. 6.7 - Prob. 11P Ch. 6.7 - Prob. 12P Ch. 6.7 - Prob. 13P Ch. 6.7 - Prob. 14P Ch. 6.7 - Prob. 15P Ch. 6.7 - Prob. 16P Ch. 6.7 - Prob. 17P Ch. 6.7 - Prob. 18P Ch. 6.7 - Prob. 19P Ch. 6.7 - Prob. 20P Ch. 6.7 - Prob. 21P Ch. 6.7 - Prob. 22P Ch. 6.7 - Prob. 23P Ch. 6.7 - Prob. 24P Ch. 6.7 - Prob. 25P Ch. 6.7 - Prob. 26P Ch. 6.7 - Prob. 27P Ch. 6.7 - Prob. 28P Ch. 6.7 - Prob. 29P Ch. 6 - Prob. 1SYU Ch. 6 - Prob. 2SYU Ch. 6 - Prob. 3SYU Ch. 6 - Prob. 4SYU Ch. 6 - Prob. 5SYU Ch. 6 - Prob. 6SYU Ch. 6 - Prob. 7SYU Ch. 6 - Prob. 8SYU Ch. 6 - Prob. 9SYU Ch. 6 - Prob. 10SYU Ch. 6 - Prob. 11SYU Ch. 6 - Prob. 12SYU Ch. 6 - Prob. 13SYU Ch. 6 - Prob. 14SYU Ch. 6 - Prob. 15SYU Ch. 6 - Prob. 16SYU Ch. 6 - Prob. 17SYU Ch. 6 - Prob. 18SYU Ch. 6 - Prob. 19SYU Ch. 6 - Prob. 20SYU Ch. 6 - Prob. 21SYU Ch. 6 - Prob. 22SYU Ch. 6 - Prob. 23SYU Ch. 6 - Prob. 24SYU Ch. 6 - Prob. 25SYU Ch. 6 - Prob. 26SYU Ch. 6 - Prob. 27SYU Ch. 6 - Prob. 28SYU Ch. 6 - Prob. 29SYU Ch. 6 - Prob. 30SYU Ch. 6 - Prob. 31SYU Ch. 6 - Prob. 32SYU Ch. 6 - Prob. 33SYU Ch. 6 - Prob. 34SYU Ch. 6 - Prob. 35SYU Ch. 6 - Prob. 36SYU Ch. 6 - Prob. 37SYU Ch. 6 - Prob. 38SYU Ch. 6 - Prob. 39SYU Ch. 6 - Prob. 40SYU Ch. 6 - Prob. 41SYU Ch. 6 - Prob. 42SYU Ch. 6 - Prob. 43SYU Ch. 6 - Prob. 44SYU Ch. 6 - Prob. 45SYU Ch. 6 - Prob. 46SYU Ch. 6 - Prob. 47SYU Ch. 6 - Prob. 48SYU Ch. 6 - Prob. 49SYU Ch. 6 - Prob. 50SYU Ch. 6 - Prob. 51SYU Ch. 6 - Prob. 52SYU Ch. 6 - Prob. 53SYU Ch. 6 - Prob. 54SYU Ch. 6 - Prob. 55SYU Ch. 6 - Prob. 56SYU Ch. 6 - Prob. 57SYU Ch. 6 - Prob. 58SYU Ch. 6 - Prob. 59SYU Ch. 6 - Prob. 60SYU Ch. 6 - Prob. 61SYU Ch. 6 - Prob. 62SYU Ch. 6 - Prob. 63SYU Ch. 6 - Prob. 64SYU Ch. 6 - Prob. 65SYU Ch. 6 - Prob. 66SYU Ch. 6 - Prob. 67SYU Ch. 6 - Prob. 68SYU Ch. 6 - Prob. 69SYU Ch. 6 - Prob. 70SYU Ch. 6 - Prob. 1FOP Ch. 6 - Prob. 2FOP Ch. 6 - Prob. 3FOP Ch. 6 - Prob. 4FOP Ch. 6 - Prob. 5FOP Ch. 6 - Prob. 6FOP Ch. 6 - Prob. 7FOP Ch. 6 - Prob. 8FOP Ch. 6 - Prob. 9FOP Ch. 6 - Prob. 10FOP Ch. 6 - Prob. 11FOP Ch. 6 - Prob. 12FOP Ch. 6 - Prob. 13FOP Ch. 6 - Prob. 14FOP Ch. 6 - Prob. 15FOP Ch. 6 - Prob. 16FOP Ch. 6 - Prob. 17FOP Ch. 6 - Prob. 18FOP Ch. 6 - Prob. 19FOP Ch. 6 - Prob. 20FOP Ch. 6 - Prob. 21FOP Ch. 6 - Prob. 22FOP Ch. 6 - Prob. 23FOP Ch. 6 - Prob. 24FOP Ch. 6 - Prob. 25FOP Ch. 6 - Prob. 26FOP Ch. 6 - Prob. 27FOP Ch. 6 - Prob. 28FOP Ch. 6 - Prob. 29FOP Ch. 6 - Prob. 30FOP Ch. 6 - Prob. 31FOP Ch. 6 - Prob. 32FOP Ch. 6 - Prob. 33FOP Ch. 6 - Prob. 34FOP Ch. 6 - Prob. 35FOP Ch. 6 - Prob. 36FOP Ch. 6 - Prob. 37FOP Ch. 6 - Prob. 38FOP Ch. 6 - Prob. 39FOP Ch. 6 - Prob. 40FOP Ch. 6 - Prob. 41FOP Ch. 6 - Prob. 42FOP Ch. 6 - Prob. 43FOP Ch. 6 - Prob. 44FOP Ch. 6 - Prob. 45FOP Ch. 6 - Prob. 46FOP Ch. 6 - Prob. 47FOP

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

True or false: The substitution w = t 2 + 1 converts the integral ∫ t t 2 + 1 d t into ∫ 1 2 w d w .

Solution Summary: The author explains that the substitution of w=t2+1 converts the integral into a value that is true.

Concept explainers

Videos

True or false:

The substitution w=t2+1 converts the integral ∫tt2+1dt into ∫12wdw.

Want to see the full answer?

Chapter 6 Solutions

True or false: The substitution w = t 2 + 1 converts the integral ∫ t t 2 + 1 d t into ∫ 1 2 w d w .

Solution Summary: The author explains that the substitution of w=t2+1 converts the integral into a value that is true.

Concept explainers

Videos

True or false: The substitution w=t2+1 converts the integral ∫tt2+1dt into ∫12wdw.

Want to see the full answer?

Chapter 6 Solutions

True or false:

The substitution w=t2+1 converts the integral ∫tt2+1dt into ∫12wdw.