Integral of 1/sqrt(1-x^2) (substitution)

Integrals ForYou
Integrals ForYou
301.4 هزار بار بازدید - 8 سال پیش - ✍🏼
✍🏼 https://integralsforyou.com - Integral of 1/sqrt(1-x^2) - How to integrate it step by step using integration by substitution!

🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Substitution: x=sin(u)
00:11 Differentiate in both sides
00:17 Substitute x and dx
00:37 Apply sin^2(u)+cos^2(u)=1
01:18 Simplify expression
01:34 Integrate 1
01:37 Undo substitution: u in terms of x
01:55 Add integration constant +C
02:01 Final answer!

👋 𝐅𝐨𝐥𝐥𝐨𝐰 @𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬𝐟𝐨𝐫𝐲𝐨𝐮 𝐟𝐨𝐫 𝐚 𝐝𝐚𝐢𝐥𝐲 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥! 😉
📸 Instagram: integralsforyou


🔍 𝐀𝐫𝐞 𝐲𝐨𝐮 𝐥𝐨𝐨𝐤𝐢𝐧𝐠 𝐟𝐨𝐫 𝐚 𝐩𝐚𝐫𝐭𝐢𝐜𝐮𝐥𝐚𝐫 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥? 𝐅𝐢𝐧𝐝 𝐢𝐭 𝐰𝐢𝐭𝐡 𝐭𝐡𝐞 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐬𝐞𝐚𝐫𝐜𝐡𝐞𝐫:
► Integral searcher 👉https://integralsforyou.com/integral-...


🎓 𝐇𝐚𝐯𝐞 𝐲𝐨𝐮 𝐣𝐮𝐬𝐭 𝐥𝐞𝐚𝐫𝐧𝐞𝐝 𝐚𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝? 𝐅𝐢𝐧𝐝 𝐞𝐚𝐬𝐲, 𝐦𝐞𝐝𝐢𝐮𝐦 𝐚𝐧𝐝 𝐡𝐢𝐠𝐡 𝐥𝐞𝐯𝐞𝐥 𝐞𝐱𝐚𝐦𝐩𝐥𝐞𝐬 𝐡𝐞𝐫𝐞:
► Integration by parts 👉https://integralsforyou.com/integrati...
► Integration by substitution 👉https://integralsforyou.com/integrati...
► Integration by trig substitution 👉https://integralsforyou.com/integrati...
► Integration by Weierstrass substitution 👉https://integralsforyou.com/integrati...
► Integration by partial fraction decomposition 👉https://integralsforyou.com/integrati...


𝐅𝐨𝐥𝐥𝐨𝐰 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥𝐬 𝐅𝐨𝐫𝐘𝐨𝐮
▶️ Youtube:    https://www.youtube.com/integralsfory...
📸 Instagram: Instagram: integralsforyou
👍 Facebook:  Facebook: IntegralsForYou


𝐃𝐨𝐧𝐚𝐭𝐞
🙋‍♂️ Patreon: Patreon: integralsforyou


#integralsforyou #integrals #integrationbysubstitution
8 سال پیش در تاریخ 1394/12/18 منتشر شده است.
301,485 بـار بازدید شده
... بیشتر