Find the value of `int \ a^(2x+1) \ dx.`

Find the value of int 2x^2dx

Find the value of int x^2 dx

Evaluate the following: If \int_{0}^a sqrt x dx = 2a \int_{0}^((pi)/2) sin^3 x dx, find the value of \int_{a}^(a+1) x dx.

Find the value of int(1)/(2x-3)dx

Find the value of int_0^1x(1-x)dx

Find the value of int_0^1x(1-x)dx

5. Find the value of int x^(1/log_10 x )dx

find the value of int 1/(1+cos2x)dx

Find the value of int(dx)/(x^(4)-1)