Question

find: integral (photo)

Answer 1

simplify it to

\(\large \int 8x^{\frac{1}{3}} + \int x^{\frac{1}{2}}\)

Answer 2

of course there are dx's there

Answer 3

Rewrite the cubic roots as 1/3, i.e.,
\[ \int 8{x}^{-1/3}dx + \int x^{1/2}dx\]

Answer 4

after i simplify it what is next @lgbasallote

Answer 5

Do the power rule for integrals: \[ x^n = \frac{x^{n+1}}{n+1} \] and you are done :-)

Answer 6

@bmp so I do use the power rule? sweet, what answer did you get?

Answer 7

oh yeah it's -1/3 got careless with all the rush >.<

Answer 8

is this answer correct? @lgbasallote @bmp

Answer 9

I got \[ 12 x^{2/3}+(2 x^{3/2})/3 \]

Answer 10

when i took the derivative of your answer @taffytwink it had a 1/3 so i guess not

Answer 11

here are my answer choices @lgbasallote @bmp

Answer 12

oh okay im trying to figure out what answer it could be

Answer 13

It's the second one :-). But go on ahead. And I forgot a +C on my answer T_T

Answer 14

thank you so much @bmp

Answer 15

No problem :-)