" 19."int(1)^(2)(1)/(x(1+x^(2)))dx...

" 19."int_(1)^(2)(1)/(x(1+x^(2)))dx

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Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

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

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

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

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

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

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

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