integral of √x

The integral of √x can be found using the formula for the integral of a power function:

∫ x^n dx = (x^(n+1))/(n+1) + C

where C is the constant of integration.

Applying this formula to the integral of √x, we have:

∫ √x dx = ∫ x^(1/2) dx = (x^(3/2))/(3/2) + C

= (2/3)x^(3/2) + C

Therefore, the integral of √x is (2/3)x^(3/2) + C.