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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2025, Shift 2, Maths Q19

Question 19 of 75 in this shift, Maths question 19 of 25, Section A.

Let (a,b)(a, b) be the point of intersection of the curve x2=2yx^2 = 2y and the straight line y−2x−6=0y - 2x - 6 = 0 in the second quadrant. Then the integral I=∫ab9x21+5x dxI = \int_a^b \frac{9x^2}{1+5^x}\,\mathrm{d}x is equal to :
  1. (1)1818
  2. (2)2121
  3. (3)2424Official answer
  4. (4)2727

Official answer

Option 3

NTA final key.

Chapter
Integrals
Topic
Definite Integral Properties
Idea tested
Symmetric Limits with Exponential Denominator Trick

Same idea in other shifts

Asked 3× in all
  1. 6 Apr 2026, Shift 1 · Q18The value of the integral ∫−π4π4(32cos⁡4x1+esin⁡x)dx\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx is:MediumSingle correct
  2. 29 Jan 2024, Shift 1 · Q11If the value of the integral…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.