`int_m^n x dx`

Evaluate : int x^n log x dx.

Evaluate : int_( 0 )^n x - [ x ] dx

A periodic function with period 1 is integrable over any finite interval.Also,for two real numbers a,b and two unequal non-zero positive integers m and nint_(a)^(a+n)f(x)dx=int_(b)^(b+m)f(x) calculate the value of int_(m)^(n)f(x)dx

Property 13:int_(mT)^(nT)f(x)dx=(n-m)int_(0)^(T)f(x)dx where T is period of f(x) and m and n are integer

If I_(m,n)= int_(0)^(1) x^(m) (ln x)^(n) dx then I_(m,n) is also equal to

If (d)/(dx)[ x^(n+1)+c]=(n+1)x^(n) , then find int x^(n)dx .