Mathematics · JEE Main

Integral Calculus

4 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

3MCQ1Numerical1With diagram
Start with question 1 Revise Definite Integration first
  1. 1The area (in sq. units) bounded by the parabola y=x2y = x^2 and the straight line y=2xy = 2x is:JEE Main/MCQ/Medium/With diagram
  2. 2The value of the definite integral ∫−π/2π/2sin⁡3xcos⁡2x dx\int_{-\pi/2}^{\pi/2} \sin^3 x \cos^2 x \, dx is:JEE Main/MCQ/Medium
  3. 3The value of the definite integral ∫02(3x2+2x) dx\int_0^2 (3x^2 + 2x)\,dx is:JEE Main/Numerical/Medium
  4. 4The value of ∫0π/2sin⁡xsin⁡x+cos⁡x dx\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx is equal to:JEE Main/MCQ/Medium

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JEE Main 2025 Apr 2 Shift 1 question paper

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Algebra 6Coordinate Geometry 5Calculus 4Vectors & 3D Geometry 4Matrices & Determinants 3Statistics & Probability 2Trigonometry 1

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