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int(1)^(2)((x+1)^(2))/(sqrt(x))dx...

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

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

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

int_(1)^(2)(1)/(x sqrt(log x))dx =

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

int_(1)^(2)(1)/(x sqrt(x^(2)-1))dx=

int_(-1)^(1)(x+2)/(sqrt(x+4))dx

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

Let I_(1)=int_(1)^(2)(1)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

int_(1/2)^(1)(1)/(sqrt(1-x^(2)))dx=

(1) int_(-1)^(0)(x)/(sqrt(x^(2)+4))*dx