Evaluate the integral using trigonometric substitution.
{eq}\displaystyle \int \frac{cos\ x}{sin^2\ x} dx {/eq}
Question:
Evaluate the integral using trigonometric substitution.
{eq}\displaystyle \int \frac{cos\ x}{sin^2\ x} dx {/eq}
Integrations Using Substitution
First we assume u is equal to some value in order to simplify the solution
Then we integrate the given function and substitute back the u value
Some of the formulas used to evaluate the integral are
{eq}\displaystyle \begin{align} \int x^adx&=\frac{x^{a+1}}{a+1}\\ \frac{d}{dx}\left(\sin \left(x\right)\right)&=\cos \left(x\right)\\ \end{align} {/eq}
Answer and Explanation: 1
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View this answerGiven
{eq}\displaystyle \int \frac{cos\ x}{sin^2\ x} dx {/eq}
Assume
{eq}\displaystyle \begin{align} u=\sin...
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Chapter 13 / Lesson 7Learn how to use and define integration by parts. Discover the integration by parts rule and formula. Learn when and how to use integration by parts with examples.