Integral of 1/(a^2+x^2)^2 (substitution)

  Рет қаралды 3,439

Integrals ForYou

Integrals ForYou

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@IntegralsForYou
@IntegralsForYou 8 ай бұрын
❤ 𝐏𝐥𝐞𝐚𝐬𝐞 𝐒𝐔𝐁𝐒𝐂𝐑𝐈𝐁𝐄 𝐭𝐨 𝐦𝐲 𝐧𝐞𝐰 𝐜𝐡𝐚𝐧𝐧𝐞𝐥 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞𝐬 𝐅𝐨𝐫𝐘𝐨𝐮! www.youtube.com/@DerivativesForYou 𝐓𝐡𝐚𝐧𝐤 𝐲𝐨𝐮! ❤
@YuvrajSingh-pf4fz
@YuvrajSingh-pf4fz 8 ай бұрын
grazie mille ❤
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
My pleasure! ❤
@syphaxjuba8420
@syphaxjuba8420 8 ай бұрын
merci , maître , est il possible de la resoudre par la substitution des fonction hyperbolique et la méthode Hermite -Ostogradsky
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
Bonjour! Je ne connais pas trop la méthode Hermite-Ostogradsky mais je pense que oui, c'est possible le résoudre par cette méthode!
@eman9674
@eman9674 8 ай бұрын
Can u solve integration of x²sin²(1/x) please
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
Hi! I think it is a non-elementary integral, it cannot be expressed in terms of finite standard functions...
@eman9674
@eman9674 8 ай бұрын
@@IntegralsForYou l know, it's improper.. Plz
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
@@eman9674 I'm sorry but I don't know how to solve this improper integral... I guess we should know the integration limits and use a known formula that I don't know... I'm sorry
@eman9674
@eman9674 8 ай бұрын
@@IntegralsForYou oh l see , thank you it's ok 💫
@Simeulf
@Simeulf 2 ай бұрын
Forgot ^2 in the second step after putting x = a*tan(u)
@IntegralsForYou
@IntegralsForYou 2 ай бұрын
You are right! I wrote a^2+a*tan^2(u) instead of a^2+(a^2)tan^2(u) in 0:33 ... Sorry for that!
@GrannyKiller6245
@GrannyKiller6245 8 ай бұрын
Yo! That's thought easy bro 😉
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
haha it is a long one too! It took me 8 minutes to solve it! 💪
@Pearl26135
@Pearl26135 8 ай бұрын
and my high school prof gave this question for home work expecting us to solve it. 😢😂
@GrannyKiller6245
@GrannyKiller6245 8 ай бұрын
@@IntegralsForYou it's doesn't matter how does you gets a answer by solving a question of integration It's matter which question are you solving!! I am your fan 😍 because √tanx integration doesn't solving by me But you solve it 😘😘😙
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
@@Pearl26135 Maybe you can send this video to your prof 😆
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
@@GrannyKiller6245 Thank you! ❤
@GrannyKiller6245
@GrannyKiller6245 8 ай бұрын
Take some integration of Leibniz Theorem 😀
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
Yeah... maybe... one day... 😜
@NishantRajput-l5e
@NishantRajput-l5e 5 ай бұрын
Put x=atan(theta) it will be easy
@IntegralsForYou
@IntegralsForYou 5 ай бұрын
Hi! That's what I did in the video... Well, I used "u" instead of "theta" but the substitution is the same
@GooogleGoglee
@GooogleGoglee 8 ай бұрын
x_X" ... 👍🏻
@IntegralsForYou
@IntegralsForYou 8 ай бұрын
A nice integral from 1886
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