`int ((x-1)/x^2)e^xdx` 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

(2) int(1)/(e^(x)+e^(-x))dx is equal to

int(log x)^(2)xdx is equal to

int(xdx)/((x-1)(x-2)) is equals to

int(xdx)/((x^(2)+1)) is equal to

The value of int tan^(3)2x sec2xdx is equal to

If 2int_(0)^(1) tan^(-1)xdx=int_(2)^(1)cot^(-1)(1-x+x^(2))dx . Then int_(0)^(1) tan^(-1)(1-x+x^(2))dx is equal to

int(xdx)/((1+x)^(3//2)) is equal to