Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q31 Markssubstitution

CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 3 (Integrals)

Evaluate \(\int dx/\sqrt{e^{-2x}-1}\).

✅ Step-by-Step Solution

Final Answer: arcsin(eˣ)+C
  1. For x<0, multiply numerator and denominator by eˣ and use u=eˣ. The resulting integral is ∫du/√(1−u²).

Master Chapter 7: Integrals

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Find the rate of change of a sphere’s volume with respect to…
Next Question →
Which expression equals \(\int_{-1}^{1}(1-|x|)\,dx\)?

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/3/2

Related Questions in Integrals