`int(x cos^(-1)xdx)/(sqrt(1-x^(2)))`

int \ (e^(cos^(- 1)x))/(sqrt(1-x^2))dx eqauls

If int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx=Psqrt(1-9x^(2))+Q(cos^(-1)3x)^(3)+c then

If int(x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx=Asqrt(1-9x^(2))+B(cos^(-1)3x)^(3)+C, then A-B is

If agt0 and A=int_(0)^(a)cos^(-1)xdx, and int_(-a)^(a)(cos^(-1)x-sin^(-1)sqrt(1-x^(2)))dx=pia-lamdaA . Then lamda is

If int cos^(-1)x+cos^(-1)sqrt(1-x^2) dx= Ax+f(x)sin^(-1)x-2sqrt(1-x^2)+c then

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

Evaluate: inte^xdot(sqrt(1-x^2)sin^(-1)x+1)/(sqrt(1-x^2))\ dx

int (x+ ( cos^(-1)3x )^(2))/(sqrt(1-9x ^(2)))dx = (1)/(k _(1)) ( sqrt(1-9x ^(2))+ (cos ^(-1) 3x )^(k_(2)))+c, then k _(1) ^(2)+k_(2)^(2)= (where C is an arbitrary constnat. )

(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx

The value of int_(0)^(1)cos^(-1)((x-x^(2))-sqrt((1-x^(2))(2x-x^(2))))dx is equal to ___________.