Problem

Evaluate the indefinite integral. $ \displayst…

00:38

Problem 38 Medium Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \frac{dt}{\cos^2 t \sqrt{1 + \tan t}} $

Answer

$2 \sqrt{1+\tan t}+C$

More Answers

01:46

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Discussion

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Video Transcript

We know that you is one plus tangent of tea, which means that to you is sequence word T d t. Which means you have the interval of d'you over squirt of you, which is only used. The power will increase the exploited by one divide by the new X poona we end up with two comes the squirt of you plus seed which only substitute and use one post 10 if t we end up with our solution.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Caleb E.

Baylor University

Samuel H.

University of Nottingham

Joseph L.

Boston College