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Mathematics
Problem
Evaluate the integral
∫
sin
4
x
d
x
\displaystyle \int \sin^{4}x\,dx
∫
sin
4
x
d
x
. a. Rewrite
sin
4
x
\sin^{4}x
sin
4
x
in terms of multiple–angle trigonometric functions and obtain a simplified integrand. b. Hence calculate
∫
sin
4
x
d
x
\displaystyle \int \sin^{4}x\,dx
∫
sin
4
x
d
x
, writing the result with the constant of integration
+
C
+C
+
C
."
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