" 11."(x)/(sqrt(1-x^(2)))

Evalute the following integrals int (x^(2))/(sqrt(1- x^(2))) dx on (-1,1)

(iv) If y=tan^(-1)(x/(1+sqrt(1-x^(2))))+sin(2tan^(-1)sqrt((1-x)/(1+x))) , then find (dy)/(dx) for x epsilon(-1,1)

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

Prove that (d)/(dx)(sin^(-1)x)=(1)/(sqrt(1-x^(2)) , where x in [-1,1].

Prove that (d)/(dx)(cos^(-1)x)=(-1)/(sqrt(1-x^(2)) , where x in [-1,1].

Prove that (d)/(dx)(cos^(-1)x)=(1)/(sqrt(1-x^(2)) , where x in [-1,1].

int_(x)(8x-11)/(sqrt(5+2x-x^(2)))dx8x-11 Evaluate :)15+2x

The expression (sqrt(x^(3)-1)+x^(2))^(11)-(sqrt(x^(3)-1)-x^(2))^(11) is a polynomial of degree

Let f(x)sqrt((1-x^(2))(1+2x^(2))) defined on [-1,1] then -