Mathematics · JEE Main

Calculus

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

4MCQ
Start with question 1 See it move: Graph transformations
  1. 1The value of lim⁡x→0e2x−1sin⁡3x\lim_{x \to 0} \frac{e^{2x} - 1}{\sin 3x} is equal to:JEE Main/MCQ/Medium
  2. 2The integrating factor of the differential equation dydx+2xy=x2\frac{dy}{dx} + \frac{2}{x} y = x^2 (x>0x > 0) is:JEE Main/MCQ/Medium
  3. 3If f(x)=2x+3f(x) = 2x + 3 is a bijective function from R→R\mathbb{R} \to \mathbb{R}, its inverse f−1(x)f^{-1}(x) is:JEE Main/MCQ/Medium
  4. 4The function f(x)=∣x∣f(x) = |x| at x=0x=0 is:JEE Main/MCQ/Medium

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JEE Main 2025 Apr 2 Shift 1 question paper

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Other Mathematics chapters

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

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