Integral of x/e^(-x^2)
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🧑🔧 Integration by parts
🧑🔧 Integration by substitution
🧑🔧 Integration by trig substitution
🧑🔧 Integration by Weierstrass substi...
🧑🔧 Integration by partial fraction d...
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Write x/e^(-x^2) as x*e(x^2)
00:09 Rewrite expression
00:15 Substitution: u = x^2
00:20 Differentiate in both sides
00:31 Substitute x^2 and x*dx
00:33 Rewrite expression
00:40 Take out the constant 1/2
00:46 Integrate e^u
00:52 Undo substitution: u in terms of x
00:57 Add integration constant +C
01:04 Final answer!
01:09 See more!
#integralsforyou #integrals #integration
@derivativesforyou
🍏 𝐀𝐧 𝐢𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐚 𝐝𝐚𝐲 𝐤𝐞𝐞𝐩𝐬 𝐭𝐡𝐞 𝐝𝐨𝐜𝐭𝐨𝐫 𝐚𝐰𝐚𝐲
Instagram: integralsforyou
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🎓 𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐭𝐢𝐨𝐧 𝐦𝐞𝐭𝐡𝐨𝐝𝐬 𝐩𝐥𝐚𝐲𝐥𝐢𝐬𝐭𝐬
🧑🔧 Integration by parts
🧑🔧 Integration by substitution
🧑🔧 Integration by trig substitution
🧑🔧 Integration by Weierstrass substi...
🧑🔧 Integration by partial fraction d...
✍🏼 𝐖𝐞𝐛𝐬𝐢𝐭𝐞
https://integralsforyou.com
💪 𝐇𝐨𝐰 𝐭𝐨 𝐜𝐨𝐥𝐥𝐚𝐛𝐨𝐫𝐚𝐭𝐞
Subscribe to Integrals ForYou
Watch, like and share the videos
Use SuperThanks in the videos
Join the community: @integralsforyou
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Write x/e^(-x^2) as x*e(x^2)
00:09 Rewrite expression
00:15 Substitution: u = x^2
00:20 Differentiate in both sides
00:31 Substitute x^2 and x*dx
00:33 Rewrite expression
00:40 Take out the constant 1/2
00:46 Integrate e^u
00:52 Undo substitution: u in terms of x
00:57 Add integration constant +C
01:04 Final answer!
01:09 See more!
#integralsforyou #integrals #integration
4 ماه پیش
در تاریخ 1403/02/09 منتشر شده
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