Integration of x(1-x)power 99 dx isHere power 99 is on (1-x) only

x1-x99dxlet 1-x=u such that -dx=du or dx=-duand x = 1-ux1-x99dx=-1-uu99du=-u99du+u100du=-u100100+u101101+C=-1-x100100+1-x101101+C

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