R

h
x−x
3
x
3
i
dx

1 answer

Using the power rule of integration, we can integrate (x^{-1/3}) dx:

∫(x^{-1/3})dx = (x^{2/3})/(2/3) + C

Simplifying, we get:

∫(x^{-1/3})dx = (3/2)x^{2/3} + C

Therefore, the result of the integral ∫(h(x−x^{1/3}))dx is:

∫(h(x - x^{1/3}))dx = h(3/2)x^{2/3} - h(2/5)x^{5/3} + C