Question

evaluate

Answer 1

\[\int\limits \frac{ x ^{2}+1 }{ \sqrt{x} }dx\]

Answer 2

start by splitting the fraction

\[\int\limits \frac{x^2}{\sqrt{x}} dx + \int\limits \frac{1}{\sqrt{x}} dx\]

now use index laws to re-write the integrals, dividing, subtract the powers

\[\int\limits x^{\frac{3}{2}} dx + \int\limits x^{-\frac{1}{2}} dx\]

now you can integrate...

Answer 3

Do i add x^3/2 and x^-1/2

Answer 4

nope, just integrate... and leave it as that...