The value of `int_(sqrt(ln2))^(sqrt(ln3))(xsinx^2)/(sinx^2+sin(ln6-x^2))dx ` is (A) `1/4 ln(3/2)` (B) `1/2 ln(3/2)` (C) `ln(3/2)` (D) `1/6ln(3/2)`

Find the value of (log)_(2sqrt(3))1728.

The value int_(0)^((pi)/(2))log((4+3sinx)/(4+3cosx))dx is

int (1)/( x sqrt( (log x)^(2) - 5 ) ) dx is

Evaluate: int(1/(x3+x4)+(ln(1+x6)/(x3+sqrt(x)))dx

Prove that int_((-pi)/(3))^(pi/3)log[(2-sinx)/(2+sinx)]dx=0

The value of ((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2) is 3 (b) 0 (c) 2 (d) 1

If int x((ln(x+sqrt(1+x^2)))/sqrt(1+x^2)) dx=asqrt(1+x^2)ln(x+sqrt(1+x^2))+bx+c then

[The value of "int(sqrt(x^(2)+1){log_(e) (x^(2)+1)-2log_(e)x})/(x^(4))dx" is equal to "],[" (a) "(2)/(3)(1+(1)/(x^(2)))^(3/2)*{log(1+(1)/(x^(2)))-(2)/(3)}+C],[" (b) "-(1)/(3)(1+(1)/(x^(2)))^(3/2)*{log(1+(1)/(x^(2)))-(2)/(3)}+C],[" (c) "(1+(1)/(x^(2)))^(3/2)*{log(1+(1)/(x^(2)))+(2)/(3)}+C ]