(Method 2) Integral of x*e^(x^2) (substitution)
✍🏼 https://integralsforyou.com - Integral of x*e^(x^2) - How to integrate it step by step using integration by substitution!
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[Method 1] - Integral of x*e^(x^2) - [u=x^2] - • (Method 1) Integral of x*e^(x^2) (substitu...
[Method 2] - Integral of x*e^(x^2) - [x=sqrt(u)] - • (Method 2) Integral of x*e^(x^2) (substitu...
✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧
Derivative of (1/2)e^(x^2) = • Derivative of (1/2)e^(x^2)
🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Substitution: u=x^2
00:10 Differentiate in both sides
00:17 Express x in terms of u
00:27 Express dx in terms of u
00:46 Substitute x, x^2 and dx
01:12 Simplify sqrt(u) and take the 2 outside the integral
01:25 Integrate e^u
01:32 Undo substitution: u in terms of x
01:44 Add integration constant +C
01:49 Final answer!
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