- #1

- 65

- 0

## Homework Statement

Find the integral of

## Homework Equations

∫(5x^2 + √x - 4/x^2 dx

## The Attempt at a Solution

∫(5x^2 + √x - 4/x^2 dx

= 5 ∫x^2 dx + ∫√x dx ∫- 4/x^2

= 5 [x^3/3] + ∫√x dx ∫- 4/x^2

= 5 [x^3/3] + [x^1/2] dx ∫- 4/x^2

= 5 [x^3/3] + [x^1/2] - [-4x^-2]

= 5[x^3/3] + [x^1/2] + [4/x] + C

= 5x^3/3 + x^1/2 + 4/x + C

Does my final answer look right for this? I'm really struggling with integrals, and am hoping I'm getting to grip with it now, but if someone can verify that would be great.

Thanks so much,

Lloyd