Question

Integral of x^3+5x/x^2?

Answer 1

`x^4/4 +5 ln absx+ C`

Explanation:

Let `I= int (x^3+(5x)/x^2)dx`

`= int (x^3+(5)/x)dx`

Apply linerarity

`I= int x^3dx +5 int 1/xdx`

Apply power rule and standard integral

`I= x^4/4 +5 ln absx+ C`