If `intf(x)*cosxdx=1/2{f(x)}^2+c`, then `f(0)=`
(A) `1`
(B) `0`
(C) `-1`
(D) none of these

If intf(x)dx=2 {f(x)}^(3)+C , then f (x) is

If intf(x)cos x dx = 1/2 f^(2)(x)+C , then f(x) can be

If intf(x)cos x dx = 1/2 f^(2)(x)+C , then f(x) can be

If f(1/x)+x^2f(x)=0, xgt0 and a=int_(1/x)^x f(t)dt, 1/2lexle2 , then a= (A) 1 (B) 0 (C) f(2)-f(1/2) (D) none of these

Let f(x)=max. {2-x,2,1+x} then int_(-1)^1 f(x)dx= (A) 0 (B) 2 (C) 9/2 (D) none of these

If f(x) is a differentiable real valued function such that f(0)=0 and f\'(x)+2f(x) le 1 , then (A) f(x) gt 1/2 (B) f(x) ge 0 (C) f(x) le 1/2 (D) none of these

If f(x)=1+1/x int_1^x f(t)dt , then the value of f(e^(-1)) is (a) 1 (b) 0 (c) -1 (d) none of these

if the graph of the cont. function y=f(x) passes through the point (a, 0) and f(x)!=0 in the deleted neighbourhood of a then (lim)_(x->a)("log"{6f^2(x)-3f(x)+1})/(3f(x))= (A) 2 (B) 1 (C) -1 (D) none of these

If intf(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,then f(x) is equal to

If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= (a)1 (b) -1 (c) 0 (d) none of these