Let `f(x)=int(x^2dx)/((1+x^2)(1+sqrt(x^2+1)))a n df(0)=0.` Then value of `f(1)` will be `7/(11)(t a ntheta/2)^((11)/7)+C` (b) `7/(11)(costheta/2)^((11)/7)+C` `7/(11)(s intheta/2)^((11)/7)+C` (d)none of these

Let f(x)=int(x^(2)dx)/((1+x^(2))(1+sqrt(x^(2)+1))) and f(0)=0 Then value of f(1) will be (7)/(11)(tan(theta)/(2))_((11)/(7))^((11)/(7))+C (b) (7)/(11)((cos theta)/(2))^((11)/(7))+C(7)/(11)(s int h(eta)/(2))^((11)/(7))+C (d)none of these

The value of the integral int((1-costheta)^(2/7))/((1+costheta)^(9/7))dthetai s 7/(11)(t a ntheta/2)^((11)/7)+C (b) 7/(11)(costheta/2)^((11)/7)+C 7/(11)(s intheta/2)^((11)/7)+C (d) none of these

The value of the integral int((1-costheta)^(2/7))/((1+costheta)^(9/7))d theta is (a) 7/(11)(t a ntheta/2)^((11)/7)+C (b) 7/(11)(costheta/2)^((11)/7)+C (c) 7/(11)(sintheta/2)^((11)/7)+C (d) none of these

The value of the integral int((1-cos theta)^((2)/(7)))/((1+cos theta)^((9)/(7)))dth eta is(7)/(11)(tan(theta)/(2))^((11)/(7))+C(b)(7)/(11)((cos theta)/(2))^((11)/(7))+C(7)/(11)(s int h(eta)/(2))^((11)/(7))+C(d) none of these

int_(4)^(7)((11-x)^(2))/(x^(2)+(11-x)^(2))dx=

The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(11)(x^2+2x)^((11)/(10))+c (b) 5/6(x+1x)^((11)/(10))+c 6/7(x+1)^((11)/(10))+c (d) none of these

The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(11)(x^2+2x)^((11)/(10))+c (b) 5/6(x+1x)^((11)/(10))+c 6/7(x+1)^((11)/(10))+c (d) none of these

The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(11)(x^2+2x)^((11)/(10))+c (b) 5/6(x+1x)^((11)/(10))+c 6/7(x+1)^((11)/(10))+c (d) none of these

"cosec"^(2) (7 - 11x)

If f(x)=sin^(-1)cos x, then the value of f(10)+f'(10) is (a)11-(7 pi)/(2) (b) (7 pi)/(2)-11 (c) (5 pi)/(2)-11( d) none of these