Evaluate integral (x^1/2)(x) dx

Answer 1

Given a function f(x) = x*x^1/2, this can be reduced to x^3/2. Now taking the integral is a matter of applying the power rule for integration...

∫x^3/2 dx = x^5/2/(3/2) + C --> 2/3 * x^5/2 + C

Here C is an integration constant since we are doing an indefinite integral.