Problem

Use Part 1 of the Fundamental Theorem of Calculus…

00:43

Problem 11 Easy Difficulty

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

$ \displaystyle F(x) = \int^0_x \sqrt{1 + \sec t} \,dt $

$$ \biggl[ \textit{Hint:} \int^0_x \sqrt{1 + \sec t} \,dt = - \int^x_0 \sqrt{1 + \sec t} \,dt \biggr] $$

Answer

$-\sqrt{1+\sec x}$

More Answers

00:44

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

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Video Transcript

using the fundamental damn of calculus. We know we have negative D over DX, given the head and the problem from the bounds of pied acts scored of one plus seeking T d t Now for a final solution. We know the teas go away, are placed with access, so we have squirt of one plus seeking X on the negatives on the outside.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Joseph L.

Boston College