Question

integrate t*e^(sqrt t) dt

Answer 1

http://www.wolframalpha.com/input/?i=Integrate+%28t%2Ae%5E%28radical%28t%29%29%2Ct%29
Here, click on show steps to see the details.. too lazy to work this out on my own.. if you get stucj, ask.

Answer 2

ill take a look at it thanks!

Answer 3

\begin{array}l\color{#631814}{\normalsize\text{i}}\color{#311244}{\normalsize\text{n}}\color{#992444}{\normalsize\text{t}}\color{#582498}{\normalsize\text{e}}\color{#969365}{\normalsize\text{g}}\color{#149788}{\normalsize\text{r}}\color{#225592}{\normalsize\text{a}}\color{#793752}{\normalsize\text{t}}\color{#157758}{\normalsize\text{e}}\color{#861888}{\normalsize\text{ }}\color{#632154}{\normalsize\text{b}}\color{#214818}{\normalsize\text{y}}\color{#419288}{\normalsize\text{ }}\color{#562463}{\normalsize\text{p}}\color{#594542}{\normalsize\text{a}}\color{#677719}{\normalsize\text{r}}\color{#683129}{\normalsize\text{t}}\color{#928399}{\normalsize\text{s}}\color{#444754}{\normalsize\text{ }}\color{#638367}{\normalsize\text{r}}\color{#447675}{\normalsize\text{i}}\color{#539746}{\normalsize\text{g}}\color{#389299}{\normalsize\text{h}}\color{#377527}{\normalsize\text{t}}\color{#361942}{\normalsize\text{?}}\color{#631859}{\normalsize\text{}}\end{array}

Answer 4

u = t
v = e^(t^(1/2))

Answer 5

yeah actually quite a pain in the
\[\color{red}{\text{tuchas}}\]

Answer 6

in the second step where does the u^3 come from?

Answer 7

nevermind i got it. u=t^1/2 and t=u^2