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int(8)^(10)(dx)/((x-3)sqrt(x+1))=...

int_(8)^(10)(dx)/((x-3)sqrt(x+1))=

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int_(8)^(15)(dx)/((x-3)sqrt(x+1))=(1)/(2)log.(5)/(3)

int_(8)^(15)(dx)/((x-3)sqrt(x+1)) is equal to

int(dx)/((x+3)sqrt(x+1))

int_(0)^(1)(dx)/((x+sqrt(x^(2)+1))^(3))=

int_(0)^(1)(dx)/(3sqrt(x))

int_(0)^(1)[(d)/(dx)(sqrt(1+x^(3)))]dx=

int_()^()(dx)/(x sqrt(1+x^(3)))