alleryStart learning →Which expression is the primitive of x e^(2x)?
Ae^(2x) (x - 1)/2 + c
Be^(2x) (2x + 1)/4 + c
Cx e^(2x)/2 + c
De^(2x) (2x - 1)/4 + c
Answer & Solution
Correct answer: D. e^(2x) (2x - 1)/4 + c
By parts: x e^(2x)/2 minus the integral of e^(2x)/2, which is x e^(2x)/2 - e^(2x)/4.
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