12" (i) "int sin^(3)(2x+1)dx

I=int sin^(-1)(2x)dx

Find (i) int cos^(2)x,dx (ii) int sin (2x)cos (3x)dx , (iii) int sin^(3)x dx.

I= int sin^(2) 3x dx .

(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " x dx "

(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " x dx "

" (i) "int x^(2)(sin^(2)x^(3))dx

Evaluate: (i) int((sin^(-1)x)^3)/(sqrt(1-x^2))\ dx (ii) int(sin(2+3logx)/x\ 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) =

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx