Evaluate the indefinite integral: y*(y+5)^1/3 dy.

Answer 1

let u = y + 5
then
du = dy
we have integral of
(u-5) u^(1/3) du
or of
u^(4/3) du - 5 u^(1/3) du

Can you take it from there? Remember to change u back to y+5 in the end and add a constant c.