Question
If e ^ x (1+ x ) dx 1+ x = e ^ x f ( x )+ C , then f ( x ) is equal to
BITSAT
Mathematics
Indefinite Integration
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. x 2
- B. x 2
- C. x 2
- D. x 2
Answer
C. x 2
Step-by-step solution
e^x (1+ x) (1+ x) d x = e^x [ 1 2 ^2 x 2 + x 2 ] d x = 1 2 e^x ^2 x 2 d x+ e^x x 2 d x = e ^ x x 2 + C But I = e ^ x f ( x )+ C (given) f ( x )= x 2
Related: Mathematics — Indefinite Integration · All PYQ Banks