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Question 330007
JEE Mathematics · Medium

Indefinite Integration: Integration by parts MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Integration by partsMediumQuestion 330007

Question

∫x eˣ dx equals:
  1. A
    eˣ(x−1) + C
    Correct
  2. B
    xeˣ + C
  3. C
    eˣ/x + C
  4. D
    x²eˣ/2 + C

Correct answer

eˣ(x−1) + C

Explanation

By parts: ∫x eˣ dx = x·eˣ − ∫eˣ dx = xeˣ − eˣ + C = eˣ(x−1) + C. (LIATE: take x as first, eˣ as second.)

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