Question

Am I doing something wrong? See below.

Answer 1

\[\int\limits (x \sqrt{x+2})dx\]

Answer 2

u = x+2 ---> x = u-2
so
\[\int\limits (u-2)u^{\frac{ 1 }{ 2 }} du\]
\[\int\limits u^{\frac{ 3 }{ 2 }} - 2u^{\frac{ 1 }{ 2 }}\]
am i correct so far? if i am i can do the rest

Answer 3

oops. forgot the du on the last part

Answer 4

If it is it'd be
\[F(u) = \frac{ 2 }{ 5 } u^{\frac{ 5 }{ 2 }} -\frac{ 4 }{ 3 }u^{\frac{ 3 }{ 2 }}\]
and I'd just plug in the u's.

Answer 5

true

Answer 6

oops forgot the +C
I checked the answer and it'd partially correct.
i got to the 2/5u.....
i don't understand what they did after.

Answer 7

they just factorise

Answer 8

ohhh ok lemme try that and see if i get it right..
:/

Answer 9

at the end they sub u back in

Answer 10

-_- that just makes more work
oh well i got the answer, thanks.

Answer 11

cool