If `int(a x+b^2)\ dx=f(x)+c ,` find `f(x)`

If int(ax+b^(2))dx=f(x)+c, find f(x)

If int f(x) dx=log |tanx|+c find f (x).

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int e^(x)((x-1)/(x^(2)))dx = __________.

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int(x e^(x))/((1+x)^(2))dx = ________.

int_(a + c)^(b+c) f(x)dx=

If | int_a ^b f(x) dx| = int_a ^b |f(x)| dx, a lt b , then f(x) = 0 has

Evaluate: if int g(x)dx=g(x), then int g(x){f(x)+f'(x)}dx

If | int_(a)^(b) f(x)dx|= int_(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has

If | int_(a)^(b) f(x)dx|= int_(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has

If f(a+b-x) = f(x), then int_a^b xf(x) dx =