Integral of (2x^2+1)e^(x^2) (by parts)
Integral of (2x^2+1)e^(x^2) - How to integrate it by parts step by step!
✅ 𝐃𝐞𝐫𝐢𝐯𝐚𝐭𝐢𝐯𝐞 𝐭𝐨 𝐜𝐡𝐞𝐜𝐤 𝐭𝐡𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧
Derivative of x*e^(x^2) = • Derivative of x*e^(x^2)
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00:00 Split into two integrals
00:15 Rewrite expression
00:30 Parts: Integral of u dv = uv - Integral of v du
00:40 Choose u and dv
00:51 Integrate dv to get v
00:56 Differentiate u to get du
01:08 Substitute u, v and du
01:28 Simplify expression
01:36 Add integration constant +C
01:42 Final answer!
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