`int(1)/(Tan x Tan(60^(0)-x)tan(60^(@)+x))dx=`
`(1) (1)/(3)log|sin3x|+cquad`
`(2) 3log|sin3x|+cquad`
`(3) (1)/(2)log|sin3x|+cquad`
`(4) (1)/(3)log|cos3x|+cquad`

int(dx)/(x(x^(2)+1)) equal (A) log|x|-(1)/(2)log(x^(2)+1)+Clog|x|+(1)/(2)log(x^(2)+1)+Cquad -log|x|+(1)/(2)log(x^(2)+1)+Cquad (1)/(2)log|x|+log(x^(2)+1)+C

int(1)/(sin x+sqrt(3)cos x)dx=(1)/(2)log tan((x)/(2)+(pi)/(3))+c

int(log(1+cos x)-x tan((x)/(2)))dx

int_(log(1/3))^(log3) sin((e^x-1)/(e^x+1))dx= (A) log3 (B) sin3 (C) 2sin3 (D) 0

(i) int (1+ tan x)/(x +log sec x) dx (ii) int (1+ cot x)/(x+log sin x) dx.

int(sin(log x))/(x^(3))dx=

Find the integral int(1)/(sqrt(a^(2)+b^(2)x^(2)))dx],[" A."(1)/(b)log bx+sqrt(a^(2)+b^(2)x^(2))|+Cquad " B."(1)/(b)log bx-sqrt(a^(2)+b^(2)x^(2))|+C],[" C."(1)/(a)log bx+sqrt(a^(2)+b^(2)x^(2))|+Cquad " D."(1)/(a)log bx-sqrt(a^(2)+b^(2)x^(2))|+C]

prove that int(cos x)/((sin x-1)(sin x-3))dx=(1)/(2)log((sin x-3)/(sin x-1))+c

int(sin(log x))/(x^(3))dx

Evaluate: (i) int2x sec^(3)(x^(2)+3)tan(x^(2)+3)dx (ii) int((x+1)/(x))(x+log x)^(2)dx