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[" 1LLSTRATIDN "8.34],[" Prove that "int...

[" 1LLSTRATIDN "8.34],[" Prove that "int_(0)^(1)sqrt((1+x)(1+x^(3)))dx" cannot exceed "sqrt(15/8)]

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

Prove that int_0^1sqrt((1+x)(1+x^3))\ dx cannot exceed sqrt((15)/8) .

Prove that int_0^1sqrt((1+x)(1+x^3))\ dx cannot exceed sqrt((15)/8) .

Prove that int_0^1sqrt((1+x)(1+x^3))dx cannot exceed sqrt((15)/8) .

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

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

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

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