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x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)

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Dec 27, 2019 · The value of ∫x(1 - x)^99 dx for x ∈ [0,1] is ... (a) 1/11000 (b) 1/10100 (c) 1/10010 (d) 1/10001

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Feb 22, 2015 · Denote $B(r,s) = \int_0^1 x^{r-1}(1-x)^{s-1}\ dx$. Then your integral is $B(100,101)$, which is just the Beta Function . So your integral is just $\frac{99! 100!}{200!}$.