Explanation Given information: ∫ ( 4 x + 1 ) ( 4 x 2 + 2 x − 7 ) 2 d x Concept and Formula Used: ∫ d x = x + C , ∫ ( x n ) d x = x n + 1 n + 1 + C . Calculation: It is given that ∫ ( 4 x + 1 ) ( 4 x 2 + 2 x − 7 ) 2 d x Let 4 x 2 + 2 x − 7 = t Differentiate both sides with respect to ‘x’ d d x ( 4 x 2 + 2 x − 7 ) = d t d x 8 x + 2 = d t d x ( 4 x + 1 ) d x = 1 2 d t ∫ ( 4 x + 1 ) ( 4 x 2 + 2 x − 7 ) 2 d x = 1 2 ∫ ( t ) 2 d t

Calculus : The Classic Edition (with Make the Grade and Infotrac)

5th Edition

ISBN: 9780534435387

Author: Earl W. Swokowski

Publisher: Brooks/Cole

See similar textbooks

Concept explainers

Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations …

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to …

Videos

Question

Chapter 5.8, Problem 13E

To determine

To Calculate: ∫(4x+1)( 4 x 2 +2x−7)2dx

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.8, Problem 12E

Chapter 5.8, Problem 14E

Students have asked these similar questions

Question 3. the given integral is convergent or divergent: Use the comparison test to determine whether or not * sin*(x + 1) 7x3 (a) |. d.x g8 + x4 + 1 -dx (b) 2.x4 + x + 1

-d.x tan x

Please send me the answer for this question in clear way.

Chapter 5.8 Solutions

Calculus : The Classic Edition (with Make the Grade and Infotrac)

Ch. 5.8 - Prob. 1E Ch. 5.8 - Prob. 2E Ch. 5.8 - Prob. 3E Ch. 5.8 - Prob. 4E Ch. 5.8 - Prob. 5E Ch. 5.8 - Prob. 6E Ch. 5.8 - Prob. 7E Ch. 5.8 - Prob. 8E Ch. 5.8 - Prob. 9E Ch. 5.8 - Prob. 10E

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.

∫ ( 4 x + 1 ) ( 4 x 2 + 2 x − 7 ) 2 d x

Solution Summary: The author explains how to calculate the value of the displaystyleint(4x+1)2dx.

Concept explainers

Videos

To Calculate: ∫(4x+1)( 4 x 2 +2x−7)2dx

Want to see the full answer?

Chapter 5.8 Solutions