Evaluate: `intsin^(-1)xdxdot`

Evaluate: intsin^-1x/x^2dx

intsin^(2)4xdx=

intsin^(5) x dx

intsin^(3)xdx=?

Evaluate: If int cos^(n)xdxdot provethatI_(n)=(1)/(n)(cos^(n-1)x sin x)+((n-1)/(x))I_(n)

Evaluate : (i) intsin^(-1)(3x-4x^(3))dx (ii) intsin^(-1)((2x)/(1+x^(2)))dx (iii) inttan^(-1)sqrt((1-x)/(1+x))dx (iv) intsin^(-1)sqrt((x)/(a+x))dx

Evaluate: (i) intsin^(-1)(cosx) dx , 0lt=xlt=pi (ii) inttan^(-1){sqrt(((1-cos2x)/(1+cos2x)))} dx , 0

intsin^(3)xcosxdx

intsin^(2) n x dx

Evaluate: intsin^4xcos^2xdx