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Mathematics
Problem
Evaluate the improper integral
∫
0
∞
x
1
+
x
4
d
x
\displaystyle \int_{0}^{\infty} \frac{x}{1+x^{4}}\,dx
∫
0
∞
1
+
x
4
x
d
x
. a)
1
2
\dfrac{1}{2}
2
1
b)
π
2
\dfrac{\pi}{2}
2
π
c)
π
4
\dfrac{\pi}{4}
4
π
d) The integral diverges
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