   Chapter 4.3, Problem 11E

Chapter
Section
Textbook Problem

# Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F ( x ) = ∫ x 0 1 + sec t   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 Fx=axftdt, then F'=fx

2) Given:

Fx=x01+sectdt

3) Calculation:

Given

Fx=x01+sectdt

But x01+sectdt=-

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