Question

Write the anti-derivative of $(3\sqrt{x}+\frac{1}{\sqrt{x}})$

Answer 1

Antiderivative of $3\sqrt{x}+\frac{1}{\sqrt{x}}$ is

$\int (3\sqrt{x}+\frac{1}{\sqrt{x}})$

We get $\int 3\sqrt{x}+\int \frac{1}{\sqrt{x}}$

$=2x^{3/2}+2\sqrt{x}$

$=2\sqrt{x}(x+1)$