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" 7.) "int cos^(-1)((1-x^(2))/(1+x^(2)))...

" 7.) "int cos^(-1)((1-x^(2))/(1+x^(2)))dx

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If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

int(x+cos^(-1)x)/(sqrt(1-x^(2)))dx

" 2."int x*cos^(-1)x*dx

Evaluate : int(x cos^(-1)x)/(1-x^(2))dx

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

int(1)/(1-cos^(2)x)dx=

int(dx)/((1+x^(2))^(7/2))

int((1)/(cos^(2)x)-(1)/(sin^(2)x))dx

int(1)/((7x-2)^(2))dx