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int(0)^(1)sqrt((x)/(1-x^(3)))dx=...

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

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Prove that int_(0)^(1)sqrt((1+x)(1+x^(3)))dx cannot exceed sqrt(15//8) .

Prove that int_(0)^(1)sqrt((1+x)(1+x^(3)))dx cannot exceed sqrt((15)/(8))

If l=int_(0)^(1)sqrt((1+x)(1+x^(3)))dx , then

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

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

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

int_(0)^(1) sqrt((1-x)/(1+x)) dx=?

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

int_(0)^(1)sqrt((1-x)/(1+x))dx