Question

Find the general antiderivative of (((7/ (x^(1/3))) - 4 (x^2)^(1/3)

Answer 1

Answer:
`(21)/(2) x^(2/3) - (12)/(5)x^{(5)/(3) } + C`

Explanation:

`\int {(7)/(x^(1/3) )-4x^(2/3) } \, dx \\\int {7x^(-1/3)} - 4x^(2/3)\, dx \\= 7*(3)/(2)x^(2/3) - 4*(3)/(5)x^{(5)/(3) } + C\\ =(21)/(2) x^(2/3) + (12)/(5)x^{(5)/(3) } + C\\\\\\ Assuming: (x^(2))^(1)/(3)`