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Question Number 8514 by Basant007 last updated on 14/Oct/16

show that∫_0 ^1 (x^2 /(√(1−x^4 )))dx=(1/4)β((3/4),(1/2))

$$\mathrm{show}\:\mathrm{that}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{2}} }{\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{4}} }}\mathrm{dx}=\frac{\mathrm{1}}{\mathrm{4}}\beta\left(\frac{\mathrm{3}}{\mathrm{4}},\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$

Commented by swapnil last updated on 18/Oct/16

what is β here

$$\mathrm{what}\:\mathrm{is}\:\beta\:\mathrm{here} \\ $$

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