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Simpler way to compute a definite integral without resorting to partial fractions?
How to evaluate the following integral using complex method? $$\int_0^\infty {x \over 1 + x^5} \;dx $$
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6This question is a solved by this answer, which evaluates the integral $$\int_0^\infty \frac{x^{\alpha-1}}{1+x^\beta}dx.$$ You are looking at the case $\alpha=2$ and $\beta =5$. The value of your integral is then $$\frac{\pi}{5\sin(2\pi/5)}.$$ – Eric Naslund Sep 01 '12 at 05:47
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Thanks @EricNaslund I got the answer. – hasExams Sep 01 '12 at 08:11