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Problem

Evaluate the integrals $$\int \sec ^{3} x \tan ^{…

02:07

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78

Problem 35 Easy Difficulty

Evaluate the integrals
$$\int \sec ^{3} x \tan x d x$$

Answer

$$\frac{1}{3} \sec ^{3} x+C$$

Related Courses

Calculus 1 / AB

Calculus 2 / BC

University Calculus: Early Transcendentals

Chapter 8

Techniques of Integration

Section 2

Trigonometric Integrals

Related Topics

Integrals

Integration

Integration Techniques

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Video Transcript

a thought to number 35 the definite indefinite, integral seeking, cubed of ex tangent of X. So finding the anti derivative this, like many cases with a inter grant, is I'm trying to see Can I recognize a function? And it's derivative If I rewrite this as Thean agro of the sequence squared of X, seeking an vax tangent of X d. X, then when I look at seeking an exchange meant that is the derivative of the secret. So if you is equal to the seeking of acts, thin d'you is equal to seek an of X tangent of X d. X. So this turns into a nice use substitution that gives us a polynomial to integrate. So this is going to be the integral of you squared, do you? Which is just you cubed over three, plus a constant integration. And so this answer is just the seeking cubed of X over three plus a constant of vinegar

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Joel Hass, Christopher Heil, Przemyslaw Bogacki

University Calculus: Early Transcendentals

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Top Calculus 2 / BC Educators

Grace H.

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Video Thumbnail

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Integration Review - Intro

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03:37

Evaluate the integrals.
$\int \sec ^{3} x \tan ^{3} x d x$

02:07

Evaluate the integrals
$$\int \sec ^{3} x \tan ^{3} x d x$$

02:31

Evaluate the following integrals.
$$\int \tan x \sec ^{3} x d x$$

01:35

Evaluate the integral.
$\int \tan ^{3} x \sec x d x$

01:22

Evaluate the integral.
$\int \tan x \sec ^{3} x d x$

01:59

Evaluate the following integrals.
$$\int \sec ^{-2} x \tan ^{3} x d x$$

01:55

Evaluate the integral.

$ \displaystyle \int \tan x \sec^3 x dx $

00:45

Evaluate the indefinite integral.
$\int \sec ^{3} x \tan x d x$

00:39

Evaluate the indefinite integral.
$$\int \sec ^{3} x \tan x d x$$

03:14

Evaluate the integral.

$ \displaystyle \int \tan^3 x \sec x dx $

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