Given `int 2^x dx= f(x) + c,` then `f(x) ​`

If int sec 2 x dx = f[ g(x)] + C , then

If int x f (x) dx = (f (x))/( 2) then f (x) = e ^(x ^(2))

If int f(x)dx=f(x), then int{f(x)}^(2)dx is equal to

If int(1)/(x^(2)+2x+2)dx=f (x) +C , then f (x)=

If it is known that int _(0) ^(10) f (x ) dx =17 and int _(0) ^(8) f (x ) dx =12, find int _(8)^(10) f (x) dx , given f(x) is continuous.

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

int f(x)dx=g(x)+c then int f^(-1)(x)dxis