Find the indefinite Integral
∫(t−2t^4)/t√t
I'm not really sure how to start this one. I figured u = (t - 2t^4) but I'm not sure
\[\int\limits \frac{\left(t-2 t^4\right) \sqrt{t}}{t} \, dt ?\]
\[\int\limits_{?}^{?}(t-2t ^{4})/(t \sqrt{t}) dt?\]
try sub \[u=\sqrt{t}\]
\[\sqrt{t} \] 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?
\[d u=\frac{1}{2 \sqrt{t}}d t\]
\[\int\limits \frac{t-2 t^4}{t \sqrt{t}} \, dt?\]
\[\int\limits \frac{t-2 t^4}{\sqrt{t}} \, dt?\]
just multiply and separate those bad boy fractions
wait i don't know which one we are doing but separate those fractions lol
yeah
-.-
Yeah sam that one, sorry... How do I do a dividing bar like that :(?
so multiply t^-1/2 into t and -2t^4?
yes!
\[\int\limits \frac{t-2 t^4}{\sqrt{t}} \, dt\] \[\int\limits \frac{t}{\sqrt{t}}-\frac{2t^4}{\sqrt{t}} \, dt\] \[\int\limits t^{1/2}-2t^{7/2}\, dt\] Integrate
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?
hmm 7/2....
4 minus half is?
3.5 so yeah 7/2...
I konfused myself :P
yes, so integrate \[\int\limits\limits t^{1/2}-2t^{7/2}\, dt\]
\[2t^{3/2}/3 - 2^{9/2}/9\] How do I do the cool divide? :(
Should be \[\frac{2 t^{3/2}}{3}-\frac{4 t^{9/2}}{9}+c\] and don't forget about the constant
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 '/'?
use \frac{numerator}{denominator}
Is there a specific button for that? Ty
no
Oh wells... Thanks for all the help :)
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