Copyright

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

Become a Study.com member to unlock this answer!

View this answer

Given

{eq}\displaystyle \int \frac{cos\ x}{sin^2\ x} dx {/eq}

Assume

{eq}\displaystyle \begin{align} u=\sin...

See full answer below.


Learn more about this topic:

Loading...
Using Integration By Parts

from

Chapter 13 / Lesson 7
10K

Learn 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.


Related to this Question

Explore our homework questions and answers library