   Chapter 4.3, Problem 7E

Chapter
Section
Textbook Problem

# Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g ( x ) = ∫ 0 x t + t 3 d t

To determine

To find:

The derivative of the function using part 1) of the Fundamental Theorem of calculus

Explanation

1) Concept:

The Fundamental Theorem of Calculus-Suppose f is continuous on [a, b] then; If  gx=axftdt, then g'=fx

2) Given:

gx=0xt+t3dt

3) Calculation:

Let

gx=0xt+t3dt

Take derivative of both sides

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