Consider the curve y = 22/12 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Consider...

Consider the curve y =
1
224434
x³
on the interval from x = 1 to x = t
(A) Find the function for the area under this curve on this interval as a function of t.
(B) Evaluate the area for t = 10, 100, and 1000.
(C) What is the total area under this curve for x ≥ 1?
Transcribed Image Text:Consider the curve y = 1 224434 x³ on the interval from x = 1 to x = t (A) Find the function for the area under this curve on this interval as a function of t. (B) Evaluate the area for t = 10, 100, and 1000. (C) What is the total area under this curve for x ≥ 1?
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