Evaluate: `intx^3+5x^2-4+7/x+2/(sqrt(x))\ dx`

Explanation

`intx^{3}+5 x^{2}-4+frac{7}{x}+frac{2}{sqrt{x}} dx `

`=int x^{3} d x+int 5 x^{2} d x-int 4 d x+int frac{7}{x} d x+int frac{2}{sqrt{x}} d x `

`=int x^{3} d x+int 5 x^{2} d x-int 4 d x+int frac{7}{x} d x+int frac{2}{sqrt{x}} d x `

`=int s^{2} d x+5 int x^{2} d x-4 . int 1 cdot d x+7 cdot int frac{1}{x} d x+2 cdot int x^{frac{1}{2}} d x `

`=frac{x^{4}}{4}+5 cdot frac{x^{3}}{3}-4 x+7 ln |x|+2(frac{x^{1 / 2}}{1 / 2})+C=frac{x^{4}}{4}+frac{5}{3} x^{3}-4 x `

`+7 ln |x|+4 sqrt{x}+C`