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

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=

If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7)^2)dx, (xge0), f(0)=0 and f(1)=1/K , then the value of K is _______ .

If f(x)=x^(2) then the value of (f(1.1)-f(1))/(1.1-1)

( 1+3+5+7+9+11 )^ (3/2) = (a)36 (b) 216 (c)256 (d) none of these

-2 3/7+4=? (-11)/7 (b) (11)/7 (-45)/7 (d) (45)/7

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

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

3(7)/(11)+7(3)/(11)xx1(1)/(2)=?

The function f satisfies 3f(7)+2f(11)=100 and 3f(11)+2f(7)=140 .Then the value of f(7) is