[int tan xdx=?],[" (A) "log|sec x|+kquad " (B) "log|sin x|+k],[" (C) "log|cos x|+k," (D) "log|cos ecx|+k]

int cos ecx log(cos ecx-cot x)dx

(i) int tan dx=log |secx|+c (ii) int cot x dx=log |sin x|+c (iii) int tan x dx=log |sin x| +c (iv) int tan x dx =-log cos x +c

int( cos 2 x)/(sin x+cos x)^2 d x is equal to a) -1/(sin x+cos x)+C b) log |sin x+cos x|+C c) log |sin x-cos x|+C d) 1(sin x+cos x)^2

int [ sin(log x) + cos(log x)] dx=........... A) x cos(log x) + c B) sin(log x) + c C) cos(log x) + c D) x sin(log x) + c

int log(sin x)*cos xdx

int sin(log x) dx=........ (A) (x/2)[sin(log x) - cos(log x)] + c (B) (x/2)[sin(log x) + cos(log x)] + c (C) (x/2)[cos(log x) - sin(log x)] + c (D) (x/2)[cos(log x) - sin(log x)] + c

int (e ^ (log x) + sin x) cos xdx

int (e ^ (log x) + sin x) cos xdx

int sin2x.log cos xdx is equal to 1) cos^(2)x((1)/(2)+log cos x)+k 2) cos^(2)x*log cos x+k 3) cos^(2)x((1)/(2)-log cos x)+k 4) cos^(2)x+log cos x+k

Evaluate: (i) int sec x log(sec x+tan x)dx (ii) int cos ecx log(cos ecx-cot x)dx