Asked by Athlete 34
Integrate ç (x^3)/ã((x^2)+4) dx
Answers
Answered by
Steve
I think you want √(x^2+4) but I don't know what the ç indicates.
copy/paste mangles various fonts
copy/paste mangles various fonts
Answered by
Athlete 34
Here is what I meant to put:
Integrate ç(x^3)/ã((x^2)+4) dx
Integrate ç(x^3)/ã((x^2)+4) dx
Answered by
Athlete 34
it keeps messing up...but you have the square root right and the ç was supposed to be the S shaped symbol.
Answered by
Steve
so, you want
∫ x^3/√(x^2+4) dx
let u^2 = x^2+4
2u du = 2x dx
x^2 = u^2 - 4
∫ x^2/√(x^2+4) x dx
= ∫(u^2-4)/u u du
= ∫ u^2-4 du
= 1/3 u^3 - 4u
= 1/3 u (u^2 - 12)
= 1/3 √(x^2+4) (x^2 - 8)
∫ x^3/√(x^2+4) dx
let u^2 = x^2+4
2u du = 2x dx
x^2 = u^2 - 4
∫ x^2/√(x^2+4) x dx
= ∫(u^2-4)/u u du
= ∫ u^2-4 du
= 1/3 u^3 - 4u
= 1/3 u (u^2 - 12)
= 1/3 √(x^2+4) (x^2 - 8)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.