Question

dv=e^6x dx
v=ind_int e^6x dx=1/6 e^6x
Can someone kindly explain this?

Answer 1

Is that \[e^6x\]
or\[e^{6x}\]

Answer 2

could someone help me with my problem...im about to bump it in a minute :)

Answer 3

e^6x

Answer 4

I know that ind_int e^x= e^x...it's the 1/6 I'm confused about!

Answer 5

My browser crashed, have to type again.. sigh..

Answer 6

Thanks :-)

Answer 7

\[\int\limits{}e^{6x}dx\]

Use u-substitution
\[u=e^{6x}\]\[du=6e^{6x}\]

\[\frac{1}{6}\int\limits{6e^{6x}}dx=\frac{1}{6}\int\limits{}udu\]

Can you solve from here?

Answer 8

I'll give it a try, thanks

Answer 9

Hold on typo

Use\[u=6x\]\[du=6\]

\[\frac{1}{6}\int\limits{}6e^{6x}=\frac{1}{6}\int\limits{}e^udu\]

Answer 10

i saw that :-)...I was forgetting to use u-sub within the integration by parts.

Answer 11

Yea brain farts...

Where did you use integration by parts on this probelm?

Answer 12

\[\int\limits_{}^{}xe ^{6x}dx\]

Answer 13

Ah I see, the original question was just part of working your previous comment.