Question

Integral of e^(5t+pi)

Answer 1

ntegral by sub..
let u=5t+pi
du = 5 dt or
dt = du/5
so, the integration can be :
int e^(5t+pi) dt (i assumed it respect to dt)
=1/5 * int e^u du
= ...

Answer 2

just remember the formula int e^x = e^x too

Answer 3

=1/5*int t e^u du ... and then I used Integration by Parts? I got (1/5 e^(5t+pi))(t-1) + c
Is this right?

Answer 4

here, we neednt use int by parts, but it is integration by substitution ...

Answer 5

Yes, I used int by sub first. Then, I used parts.

Answer 6

1/5 * int e^u du
= 1/5 * e^u + c
subt back that u=5t+pi , therefore
= 1/5*(e^5t+pi ) + c

Answer 7

hmm..typo
= 1/5*e^(5t+pi ) + c

Answer 8

Sorry! I didn't give you the rest of the problem. That's why I am confused.
Integral of t * e^(5t + pi) dt

Answer 9

=1/5*int t e^u du ... and then I used Integration by Parts? I got (1/5 e^(5t+pi))(t-1) + c
Thank you so much for helping me.

Answer 10

Oooooo ....~0.0~

Answer 11

Sorry about that. I asked you for just the e^ part and then the problem had an extra (t) in it!! Thank you for helping me!!

Answer 12

nevermind... im a true helper :)
well, we need int by part