   Chapter 5.3, Problem 9E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g ( s ) = ∫ 5 s ( t − t 2 ) 8   d t

To determine

To Find:

The derivative of the function g(s), using part 1 of fundamental theorem of calculus and integral evaluation.

Explanation

Given information:

g(s)=5s(tt2)8dt

Calculation:

Show the integral function as below:

g(s)=5s(tt2)8dt (1).

Here, g(s) is function of s and t is a derivative function.

Show the part 1 of fundamental theorem of calculus as below:

g(x)=axf(t)dt (2)

g(x)=

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