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

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) =

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)= intTan^(-1)((2x)/(1-x^(2)))dx then the value of I_(1)+I_(2)-I_(3)=

Evaluate: (i) int cot^(-1)((sin2x)/(1-cos2x))dx (ii) int sin^(-1)((2tan x)/(1+tan^(2)x))dx

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

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

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

Evaluate: (i) int e^(x)((1)/(x)-(1)/(x^(2)))dx (ii) int e^(x)(sin x+cos x)dx

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

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