Problem

Use Part 1 of the Fundamental Theorem of Calculus…

00:34

Problem 16 Easy Difficulty

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

$ \displaystyle y = \int^{x^4}_0 \cos^2 \theta \,d\theta $

Answer

$$
y^{\prime}=4 x^{3} \cos ^{2}\left(x^{4}\right)
$$

More Answers

01:09

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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Problem 1

Problem 2

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Problem 4

Problem 5

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Video Transcript

Okay, we know we can take the derivative, which gives us why one is co sign squared Times X to the fourth times. Forks, Cube. So that's just for X cubed co sign squared X to the fourth so you can just rearrange things to put the cowfish in the front.

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

Heather Z.

Oregon State University

Caleb E.

Baylor University

Michael J.

Idaho State University

Joseph L.

Boston College