Question
_0^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x=
BITSAT
Mathematics
Definite Integration
2024
BITSAT 2024 (Memory Based Paper 1)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 2
- B. 2 2
- C. 3 2
- D. 4 2
Answer
B. 2 2
Step-by-step solution
Let I= _0^ 2 ( 4 +x )+ ( 3 4 +x ) x+ x d x I= _0^ / 2 ( 3 4 -x )+ ( 5 4 -x ) x+ x d x I= _0^ / 2 ( 4 +x )- ( 3 4 +x ) x+ x d x Now I+I= _0^ / 2 2 ( 4 +x ) x+ x d x I= _0^ / 2 1 2 x+ 1 2 x x- x d x= 2 2
Related: Mathematics — Definite Integration · All PYQ Banks