Integrate #int sin^4(x)dx#?
#int sin^4(x)dx#
How do you use the half-angle identities to reduce the function?
How do you use the half-angle identities to reduce the function?
2 Answers
Explanation:
We want to solve
Use double-angle identities (equivalent to half-angle):
-
#cos(2a)=1-2sin^2(a)# -
#cos(2a)=2cos^2(a)-1#
Rewrite the integrand using double-angle identities
Integrate
The answer is
Explanation:
Another way to perform this integral
Applying Euler's relation
Therefore,