[2024/05/01] Integral of e^x sinx
![[2024/05/01] Integral of e^x sinx](https://lemmy.world/pictrs/image/4895b47f-5ce6-4e18-ac2b-cb924ea7870e.png){kind=link}
Find ∫e^x sinx dx.
zkfcfbzr, solution∫eˣ sin(x) dx = eˣ sin(x) - ∫eˣ cos(x) dx = eˣ sin(x) - (eˣ cos(x) + ∫eˣ sin(x) dx) ∫eˣ sin(x) dx = eˣ sin(x) - eˣ cos(x) - ∫eˣ sin(x) dx 2∫eˣ sin(x) dx = eˣ (sin(x) - cos(x)) + C ∫eˣ sin(x) dx = ½ eˣ (sin(x) - cos(x)) + C
siriusmart, 
thats it, ggs
siriusmart, Solutions will be out tmr, have a go on it first.
zkfcfbzr@lemmy.world got it, congrats :D
Solution: …siri.sh/…/2024-05-01_recursive-integral.html
spoiler___ https://lemmy.world/pictrs/image/fab052f6-30f7-47a9-b311-988c77a68684.png
Add comment