Q: Does this integral look too hard? A: Yes but....
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- ΠΠΏΡΠ±Π»ΠΈΠΊΠΎΠ²Π°Π½ΠΎ: 1 ΠΎΠΊΡ 2024
- We will integrate x*e^sqrt(x^2+1) but how?
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I was about to say the most diabolical thing when you boxed in the answer. Good thing you remember the +C at the end
u^2=x^2+1 so 2udu = 2xdx so xdx = udu and then IbP
That's how I did too. Just use special substitution.
@@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
Yes,that's what I saw as well.
Could you not factorise the final answer to get a tidier solution? Or am I wrong?
You could but it wouldnβt exactly be neater/tidier IMO.
Yes, I agree; it would be neater without the awkwardly duplicated e-to-power term.
e^(-xΒ²) πππ
Can you go over the AP Calc BC FRQs?
It is easy to see suitable substitution and then integration by parts
Yes, 1st