Question

Find the indefinite integral of:
(2x^(3/2)+1)x^(1/2)
I keep getting (1/6)(2x^(3/2)+1)^2 + C, but this is incorrect.

Answer 1

that is definantly an eyesore

Answer 2

multiply it thru to get seperate terms for addition right?

Answer 3

2x^(4/2) + x^(1/2)

Answer 4

[S] 2x^2 + x^(1/2) dx

2x^3/3 + 2x^(3/2)/3 + C right?

Answer 5

\[\frac{2x^3}{3} +\frac{2x^ \frac{3}{2}}{3} + C\]

Answer 6

Yes, I believe that is right. I was trying to over-complicate things by using substitution somehow. Thank you.

Answer 7

youre welcome :) simplify when needed right :)