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Mathematics
Mathematics
Problem
Evaluate
∫
0
π
/
2
x
sin
x
cos
x
cos
4
x
+
sin
4
x
d
x
\int_{0}^{\pi/2} \frac{x \sin x \cos x}{\cos^4 x + \sin^4 x} dx
∫
0
π
/2
c
o
s
4
x
+
s
i
n
4
x
x
s
i
n
x
c
o
s
x
d
x
.
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