Question
x+3 (x+4)^2 e^x d x is equal to
BITSAT
Mathematics
Indefinite Integration
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. e^x ( 1 x+4 )+C
- B. e^ -x ( 1 x+4 )+C
- C. e^ -x ( 1 x-4 )+C
- D. e^ 2 x ( 1 x-4 )+C
Answer
A. e^x ( 1 x+4 )+C
Step-by-step solution
Suppose, I= x+3 (x+4)^2 e^x d x= (x+4) 1 (x+4)^2 e^x d x = e^x (x+4) - e^x (x+4)^2 d x = e^x ( 1 (x+4) - 1 (x+4)^2 ) d x =e^x 1 (x+4) +C [ e^x \ f(x)+f^ (x) \ d x=e^x f(x)+C ]
Related: Mathematics — Indefinite Integration · All PYQ Banks