Question

Integrate the given function w.r.t. respective variable : cos² x

Answer 1

this is the answer of the integrated function of cos^2x

Answer 2

Answer:

$\int\:cos^{2}x\:dx=\frac{x}{2} +\frac{sin\:2x}{4} +C$

Step-by-step explanation:

We know that before integrating any function ,we must convert it into integrable form.

As we know that

 $cos\:2x=2\:cos^{2}x-1\\ \\ cos^{2}x=\frac{1+cos\:2x}{2}$

Now we can integrate it

$\int\frac{1+cos\:2x}{2}dx\\ \\ \\ = \int\frac{1}{2} dx+\frac{1}{2} \int\:cos\:2x\:dx\\ \\ \\ =\frac{x}{2} +\frac{sin\:2x}{4} +C$