Let `a=int_0^(pi/2) sinx/xdx`, then (A) `0ltalt1` (B) `agt2` (C) `1ltaltpi/2` (D) none of these

int_0^(pi/2) cos^5xdx

int_0^(pi/2) xsinxsin2xdx

int_0^(pi/2) sin^2xcos^2xdx

int_0^(pi/2) (1+sinx)^3cosxdx

int_0^(pi/2) cosx/(1+sinx)dx

If a=int_(1/2)^2 1/x cot^7(x-1/x)dx , then (A) a=0 (B) 0ltalt1 (C) agt0 (D) none of these

Find int_0^pi xsin^2xdx

int_(0)^( pi/2)sec^(2)xdx

If [x] denotes the integral part of x and a=int_(-1)^0 (sin^2x)/([x/pi]+1/2)dx, b=int_0^1 (sin^2x)/([x/pi]+1/2)d (x-[x]) , then (A) a=b (B) a=-b (C) a=2b (D) none of these

If int_0^1 xe^(x^2) dx=k int_0^1 e^(x^2) dx , then (A) kgt1 (B) 0ltklt1 (C) k=1 (D) none of these