\int\{-2+(x^(2) +3x)^(6/5) - x^3} \, dx

Question

`\int\{-2+(x^(2) +3x)^(6/5) - x^3} \, dx`

Answer 1

Apply sum rule:

- 2dx + (x^2 +3x) 6/5dx = x^3dx

2dx = 2x

(x^2 + 3x) 6/5dx = 6/5 (x^3/3 + 3x^2/2)

x^3dx = x^4/4

-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4

Add constant

-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4 + c