Question

how can i integrate this?

Answer 1

\[-\frac{ 4 }{ 3}\int\limits_{0}^{\infty}(\sin ^{3}tcost)e ^{-st}dt\]

Answer 2

@zepdrix

Answer 3

i have to find the laplace for \[\sin2tcos2t\]

Answer 4

sin(2t)cos(2t) = 1/2 sin(4t)

Answer 5

^^Yep, then integrate by parts.

Answer 6

im told to use the trig identities first.

Answer 7

i used for cos2t = (1-sin^2t)

Answer 8

half and double ...
\[2~\sin(x)~\cos(x)=\sin(2x)\]

Answer 9

\[\int\sin ^{3}t~\cos t~dt=\frac14sin^4(t)+C\]

Answer 10

im not getting the same answer as you.

Answer 11

let me draw out what i have.