Evaluate the integral.
{eq}\int \cos^2 x \tan^3 x \, \mathrm{d}x {/eq}
Question:
Evaluate the integral.
{eq}\int \cos^2 x \tan^3 x \, \mathrm{d}x {/eq}
U-Substitution:
U-substitution is used to evaluate integrals by replacing an appropriate sub-function with {eq}u {/eq}. The derivative of the sub-function must also be taken as it will be utilized as the value of {eq}\mathrm{d}u {/eq}.
Answer and Explanation: 1
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View this answerWe first need to simplify the given integral by implementing the trigonometric identities {eq}\displaystyle \tan(x) = \frac{\sin(x)}{\cos(x)} {/eq}...
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Chapter 12 / Lesson 13In this lesson, learn the technique of integration by u-substitution, its step-by-step method, and see different examples.