Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Definite Integration and Area/
Question 340011
JEE Mathematics · Hard

Definite Integration and Area: JEE Advanced MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
JEE AdvancedHardQuestion 340011

Question

∫₋₁¹ x|x| dx equals:
  1. A
    0
    Correct
  2. B
    2/3
  3. C
    −2/3
  4. D
    1

Correct answer

0

Explanation

f(x) = x|x|. For x ≥ 0: x². For x < 0: −x². Note f(−x) = (−x)|−x| = −x|x| = −f(x) → f is odd. ∫₋₁¹ (odd function) dx = 0.

Review Definite Integration and Area notesStart timed chapter practice