How do you find the antiderivative of #cos^2 (x)#?
1 Answer
Jul 31, 2016
Explanation:
The trick to finding this integral is using an identity--here, specifically, the cosine double-angle identity.
Since
Thus:
#intcos^2(x)dx=1/2intcos(2x)+1dx#
We can now split this up and find the antiderivative.
#=1/2intcos(2x)dx+1/2int1dx#
#=1/4int2cos(2x)dx+1/2x#
#=1/4sin(2x)+1/2x+C#