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Integral of e^(1/x^2)/x^3 (substitution)
ะะพะบะฐะทะฐัั ะพะฟะธัะฐะฝะธะต
Integral of e^(1/x^2)/x^3 - How to integrate it step by step using the substitution method!
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ Follow @integralsforyou on Instagram for a daily integral ๐
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Rewrite expression
00:20 Substitution: u=x^(-2)
00:25 Differentiate in both sides
00:37 Substitute x^(-2) and x^(-3)*dx
00:49 Rewrite expression
00:56 Integrate e^u
01:02 Undo substitution: u in terms of x
01:10 Rewrite expression
01:17 Add integration constant +C
01:23 Final answer!
๐๐ง๐ญ๐๐ ๐ซ๐๐ญ๐ข๐จ๐ง ๐ฆ๐๐ญ๐ก๐จ๐๐ฌ ๐ฉ๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ
โบ Integration by parts
โบ Integration by substitution
โบ Integration by trig substitution
โบ Integration by Weierstrass substitution
โบ Integration by partial fraction decomposition
๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ ๐๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ ๐ ๐จ๐ซ๐๐จ๐ฎ
๐๐จ๐ง๐๐ญ๐
#integralsforyou #integrals #integrationbysubstitution
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ Follow @integralsforyou on Instagram for a daily integral ๐
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Rewrite expression
00:20 Substitution: u=x^(-2)
00:25 Differentiate in both sides
00:37 Substitute x^(-2) and x^(-3)*dx
00:49 Rewrite expression
00:56 Integrate e^u
01:02 Undo substitution: u in terms of x
01:10 Rewrite expression
01:17 Add integration constant +C
01:23 Final answer!
๐๐ง๐ญ๐๐ ๐ซ๐๐ญ๐ข๐จ๐ง ๐ฆ๐๐ญ๐ก๐จ๐๐ฌ ๐ฉ๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ
โบ Integration by parts
โบ Integration by substitution
โบ Integration by trig substitution
โบ Integration by Weierstrass substitution
โบ Integration by partial fraction decomposition
๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ ๐๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ ๐ ๐จ๐ซ๐๐จ๐ฎ
๐๐จ๐ง๐๐ญ๐
#integralsforyou #integrals #integrationbysubstitution
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