How do you solve this integration problem

Question

Evaluate the integral of dt/t√t from 1 to 4

Answer 1

Rewrite dt/(t√t) as dt/t^3/2 or dt/t^1.5 or t^-1.5dt.

Construct the integral ∫_{(from t=1 to t=4)}t^-1.5dt which translates to [-2t^-0.5|_{(from t=1 to t=4)}].

Then obtain [-2t^-0.5|_{(from t=1 to t=4)}] = -2(4)^-0.5 − -2(1)^-0.5 which reduces to -2/√4 + 2/√1

or 2 −1 equal to 1.