Question

How do you find the indefinite integral of `int (x^4-6x^3+e^xsqrtx)/sqrtx dx`?

Answer 1

`2/9x^(9/2)-12/7x^(7/2)+e^x+C`

Explanation:

`int (x^4-6x^3+e^xsqrtx)/sqrtx dx = int (x^(7/2)-6x^(5/2)+e^x)dx`
`=1/(7/2+1)x^(7/2+1)-6/(5/2+1)x^(5/2+1)+e^x+C`