`int(x+1)/(x(1+x e^x)^2)dx=log|1-f(x)|+f(x)+c`, then `f(x)=`

If inte^(x)((1-x)/(1+x^(2)))^(2)dx=e^(x)f(x)+c, then f(x)=

If inte^(x)(1+x^(2))/((1+x)^(2))dx=e^(x)f(x)+c , then f(x)=

int(x+1)/(x(1+xe^(x)))dx=ln|f(x)|+c. find value of f(In2)?

If int(1)/(f(x))dx=log[f(x)]^(2)+c , then f(x)=

If int(1)/(f(x))dx=log[f(x)]^(2)+c , then f(x)=

int(x+1)/(x(1+xe^(x)))dx=ln|f(x)|+c. Find the value of f(ln2)

STATEMENT-1 : If int(1)/(f(x))dx=2log|f(x)|+c , then f(x)=(x)/(2) . STATEMENT-2 : When f(x)=(x)/(2) , then int(1)/(f(x))dx=int(2)/(x)dx=2log|x|+c STATEMENT-3 : inte^(x^(2))dx=e^(x^(2))+c

If int e^(x)(1+x)*sec^(2)(x e^(x))dx=f(x)+ constant, then f(x)=