Q: Does this integral look too hard? A: Yes but....
Рет қаралды 5,251
2 ай бұрынWe will integrate x*e^sqrt(x^2+1) but how?
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@deathgam3rhdgt198 2 ай бұрын
I was about to say the most diabolical thing when you boxed in the answer. Good thing you remember the +C at the end
@pawovado 2 ай бұрын
u^2=x^2+1 so 2udu = 2xdx so xdx = udu and then IbP
@stevenogbuehi3846 2 ай бұрын
That's how I did too. Just use special substitution.
@pawovado 2 ай бұрын
@@stevenogbuehi3846 i saw u = sqrt(x^2+1), you can also take u^2= x^2+1 and take the derivitive on both sides and Then integrate by party
@stevenogbuehi3846 2 ай бұрын
Yes,that's what I saw as well.
@isobar5857 2 ай бұрын
Could you not factorise the final answer to get a tidier solution? Or am I wrong?
@Ninja20704 2 ай бұрын
You could but it wouldn’t exactly be neater/tidier IMO.
@rogerkearns8094 2 ай бұрын
Yes, I agree; it would be neater without the awkwardly duplicated e-to-power term.
@cameronskellams5670 2 ай бұрын
e^(-x²) 😈😈😈
@yelr1136 2 ай бұрын
Can you go over the AP Calc BC FRQs?
@holyshit922 2 ай бұрын
It is easy to see suitable substitution and then integration by parts
@experimentbysaifanali7580 2 ай бұрын
Yes, 1st
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