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Integral of e^(2x) (substitution)
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Integral of e^(2x) - How to integrate it step by step using the substitution method!
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Substitution: u=2x
00:06 Differentiate in both sides
00:15 Substitute 2x and dx
00:26 Rewrite expression
00:32 Integrate e^u
00:36 Undo substitution: u in terms of x
00:40 Add integration constant +C
00:45 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 #integrals #integrationbysubstitution
โ ๐๐๐ซ๐ข๐ฏ๐๐ญ๐ข๐ฏ๐ ๐ญ๐จ ๐๐ก๐๐๐ค ๐ญ๐ก๐ ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Substitution: u=2x
00:06 Differentiate in both sides
00:15 Substitute 2x and dx
00:26 Rewrite expression
00:32 Integrate e^u
00:36 Undo substitution: u in terms of x
00:40 Add integration constant +C
00:45 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 #integrals #integrationbysubstitution
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