`int_(-3)^3 (ln|x|dx)/(1+e^x)` is equal to

int(x-3)/((x-1)^(3)).e^(x)dx is equal to

int_(1)^(x) (log(x^(2)))/(x) dx is equal to

The value of int _(1)^(e) 10^(log_(e)x) dx is equal to

int_(1)^(3)|(2-x)log_(e )x|dx is equal to:

int cos^(3)x.e^(log(sin x)) dx is equal to

Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e^(-x))^2)dx is equal to c) int(e^(-x))/(1+e^x)dx is equal to d) int1/(sqrt(1-e^(2x)))dx is equal to COLUMN II p) x-log[1+sqrt(1-e^(2x)]+c q) log(e^x+1)-x-e^(-x)+c r) log(e^(2x)+1)-x+c s) -1/(2(e^(2x)+1))+c

int e^(x log a) e^(x) dx is equal to

int_(1)^(e)(dx)/(x(1+log x))

The value of definite integral int_(1/3)^(2/3)(ln x)/(ln(x-x^(2)))dx is equal to

The value of definite integral int_(1/3)^(2/3)(ln x)/(ln(x-x^(2)))dx is equal to: