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Integral of e^(4x) (substitution)
ะะพะบะฐะทะฐัั ะพะฟะธัะฐะฝะธะต
Integral of e^4x - How to integrate it step by step using the substitution method!
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Substitution: u=4x
00:07 Differentiate in both sides
00:16 Substitute 4x and dx
00:27 Rewrite expression
00:34 Integrate e^u
00:39 Undo substitution: u in terms of x
00:44 Add integration constant +C
00:49 Final answer!
๐ Follow @integralsforyou on Instagram for a daily integral ๐
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 #integrationbysubstitution #integration
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Substitution: u=4x
00:07 Differentiate in both sides
00:16 Substitute 4x and dx
00:27 Rewrite expression
00:34 Integrate e^u
00:39 Undo substitution: u in terms of x
00:44 Add integration constant +C
00:49 Final answer!
๐ Follow @integralsforyou on Instagram for a daily integral ๐
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 #integrationbysubstitution #integration
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