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" 8.(i) "int(0)^(1)(x^(3))/(1+x^(8))dx...

" 8.(i) "int_(0)^(1)(x^(3))/(1+x^(8))dx

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int_(0)^(1)(x^(7))/(1+x^(8))dx

int_(0)^(1)(4x^(3))/(sqrt(1-x^(8)))dx=

int_(0)^(1)(x^(3))/(sqrt(1+8x^(4)))dx

The value of the integral int_(0)^(1)(x^(3))/(1+x^(8))dx is

The value of the integral int_(0) ^(1) (x ^(3))/( 1 + x ^(8)) dx is equal to

int(x^(3))/((1+x^(8)))dx

int (x^(3))/(1+x^(8))dx=

l_(1)=int_(0)^(1)(1+x^(8))/(1+x^(4))dx and l_(2)=int_(0)^(1)(1+x^(9))/(1+x^(3))dx

int_(0)^(1)(dx)/(x^(2)+4x+8)