Question

can someone tell me how to get from this step to the next? Integration by parts

Answer 1

the steps im confused about are the ones with arrows
I get the same answer as the first arrow, but don't know where they got that fraction 1/1+s^2 from

Answer 2

@ParthKohli

Answer 3

@sammixboo

Answer 4

In the equation you have underlined in red, just add\[s^2 \int_0^{\infty }e^{-sx}\cos x dx\]to both sides

Answer 5

what do you get?

Answer 6

yeahhhhhhhh

Answer 7

thank you <3

Answer 8

<3

Answer 9

not gonna lie I didn't know I could do that with integrals

Answer 10

alright i'm gonna send you a video discussing other nifty applications of this trick

Answer 11

https://www.youtube.com/watch?v=dYWSzfX0HQ0

Answer 12

This is very helpful thank you!

Answer 13

no problem :)