Question
What is dx 10^x + 10^ -x equal to?
NDA
Mathematics
Indefinite Integration
2025
NDA 2025 (Phase 2)
NDA Mathematics Question (2025) — Solution
Options
- A. ^ -1 (10^x) + c
- B. ( 10) ^ -1 (10^x) + c
- C. 1 10 ^ -1 (10^x) + c
- D. (10^x + 10^ -x ) + c
Answer
C. 1 10 ^ -1 (10^x) + c
Step-by-step solution
Let I = dx 10^x + 10^ -x I = 10^x 10^ 2x + 1 dx Let 10^x = t 10^x 10 \, dx = dt 10^x \, dx = dt 10 I = 1 10 dt t^2 + 1 I = 1 10 ^ -1 (t) + c I = 1 10 ^ -1 (10^x) + c Answer: 1 10 ^ -1 (10^x) + c
Related: Mathematics — Indefinite Integration · All PYQ Banks