Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
UnkleRhaukus
Group Title
\[\int_0^\infty e^{3t}\int_0^te^{tu}\sin(u)\text du\text dt\]
 one year ago
 one year ago
UnkleRhaukus Group Title
\[\int_0^\infty e^{3t}\int_0^te^{tu}\sin(u)\text du\text dt\]
 one year ago
 one year ago

This Question is Closed

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
\[\begin{align*} \\\int_0^\infty e^{3t}\int_0^te^{tu}\sin(u)\text du\text dt&=\mathcal L\left\{\int_0^te^{tu}\sin(u)\text du\right\}_{p\rightarrow3}\\ \\&=\mathcal L\left.\left\{\mathcal L\{e^t*\sin(u)\}\right\}\right_{p\rightarrow3}\\ \\&=\mathcal L\left.\left\{\frac{1}{p1}\times\frac{1}{p^2+1^2}\right\}\right_{p\rightarrow3}\\ \\&= \end{align*}\]
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.0
I could literally mash the keyboard for 12 straight minutes, and I would understand it better than I would that.
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.0
\[u = \frac{1}{2} i (t\log(e^{t}))\] right?
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
i have this , but it dosent seam right to me for some reason \[\begin{align*} \\&=\mathcal L\left\{\frac{1}{31}\times\frac{1}{3^2+1}\right\} \\&=\mathcal L\left\{\frac{1}{2}\times\frac{1}{10}\right\} \\&=\frac 1{20} \end{align*}\]
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.0
Oh, I honestly have no clue. I put it in Wolfram Alpha and it told me that was a root. It makes no sense to me, but 1/20 is a nice answer. ;)
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
ah, this makes more sense , i see where i was getting confused now , \[\begin{align*} \int_0^\infty e^{3t}\int_0^te^{tu}\sin(u)\text du\text dt \\&=\mathcal L\left\{\int_0^te^{tu}\sin(u)\text du\right\}_{p\rightarrow3} \\&=\mathcal L\left.\left\{e^t*\sin(u)\right\}\right_{p\rightarrow3} \\&=\left(\left.\mathcal L\left\{e^t\right\}\times\mathcal L\left\{\sin(u)\right\}\right)\right_{p\rightarrow3} \\&=\left(\left.\frac{1}{p1}\times\frac{1}{p^2+1^2}\right)\right_{p\rightarrow3} \\&=\frac{1}{31}\times\frac{1}{3^2+1}\\&=\frac{1}{2}\times\frac{1}{10}\\ \\&=\frac 1{20} \end{align*}\]
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.