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Mathematics 18 Online
OpenStudy (konradzuse):

Find the indefinite Integral

OpenStudy (konradzuse):

∫(t−2t^4)/t√t

OpenStudy (konradzuse):

I'm not really sure how to start this one. I figured u = (t - 2t^4) but I'm not sure

sam (.sam.):

\[\int\limits \frac{\left(t-2 t^4\right) \sqrt{t}}{t} \, dt ?\]

OpenStudy (anonymous):

\[\int\limits_{?}^{?}(t-2t ^{4})/(t \sqrt{t}) dt?\]

sam (.sam.):

try sub \[u=\sqrt{t}\]

OpenStudy (konradzuse):

\[\sqrt{t} \] on the bottom, no addition t, I'm sorry, I'm not sure how to do that divide bar Sam, how do I do that?

sam (.sam.):

\[d u=\frac{1}{2 \sqrt{t}}d t\]

sam (.sam.):

\[\int\limits \frac{t-2 t^4}{t \sqrt{t}} \, dt?\]

sam (.sam.):

\[\int\limits \frac{t-2 t^4}{\sqrt{t}} \, dt?\]

myininaya (myininaya):

just multiply and separate those bad boy fractions

myininaya (myininaya):

wait i don't know which one we are doing but separate those fractions lol

sam (.sam.):

yeah

OpenStudy (anonymous):

-.-

OpenStudy (konradzuse):

Yeah sam that one, sorry... How do I do a dividing bar like that :(?

OpenStudy (konradzuse):

so multiply t^-1/2 into t and -2t^4?

OpenStudy (anonymous):

yes!

sam (.sam.):

\[\int\limits \frac{t-2 t^4}{\sqrt{t}} \, dt\] \[\int\limits \frac{t}{\sqrt{t}}-\frac{2t^4}{\sqrt{t}} \, dt\] \[\int\limits t^{1/2}-2t^{7/2}\, dt\] Integrate

OpenStudy (konradzuse):

so it would be \[t^{1 - 1/2} =t ^1/2 \] and \[-2t^\]\[-2t^{4 - 1/2}\] ? Which should be \[-2t^{4/4 - 2/4} \] = 2/4? = 1/2? Is that righty?

OpenStudy (konradzuse):

hmm 7/2....

sam (.sam.):

4 minus half is?

OpenStudy (konradzuse):

3.5 so yeah 7/2...

OpenStudy (konradzuse):

I konfused myself :P

sam (.sam.):

yes, so integrate \[\int\limits\limits t^{1/2}-2t^{7/2}\, dt\]

OpenStudy (konradzuse):

\[2t^{3/2}/3 - 2^{9/2}/9\] How do I do the cool divide? :(

sam (.sam.):

Should be \[\frac{2 t^{3/2}}{3}-\frac{4 t^{9/2}}{9}+c\] and don't forget about the constant

OpenStudy (konradzuse):

Yeah I realized that i didn't put that but didn;'t wan to redo it all ;P ty. How do I do that division instead of '/'?

sam (.sam.):

use \frac{numerator}{denominator}

OpenStudy (konradzuse):

Is there a specific button for that? Ty

sam (.sam.):

no

OpenStudy (konradzuse):

Oh wells... Thanks for all the help :)

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