The value of `int_(-2012)^(2012)(sin(x^(3))+x^(5)+1)"dx"` is -

Let x^(2)-(f(x))^(2)=t-(1)/(t) and x^(4)+(f(x))^(4)=t^(2)+(1)/(t^(2)) Then the value of int_(-2012)^(2012)(x^(3)*f(x)*f'(x)+x)dx is (i) (x^(4))/(4)+C( ii) ({f(x)}^(4))/(4)+C( iiii -4024 (iv) (f'(x))/(3f(x))+C

The value of int_(0)^(1) (sin^(-1) x ) ^(2) dx is

Find the value of int_(0)^(1){(sin^(-1)x)/x}dx

The value of int_(0)^(pi) x sin^(3) x dx is

int_(-1)^(1)(x^(4)+sin^(3)x)dx

The value of int_(-1)^(1)(sin^(-1)x+(x^(5)+x^(3)-1)/(cosx))dx is equal to

int_(-1)^(1)(sin x)^(5)(cos x)^(4)dx=

The value of int_(-a)^(a)1/(x+x^(3))dx is

The value of int_(-a)^(a)1/(x+x^(3))dx is