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BITSAT Mathematics Definite Integration 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Mathematics Question (2023) — Solution

Question

_0^ / 4 x e^ x d x is equal to

Options

  1. A. e+1
  2. B. e-1
  3. C. e
  4. D. -e

Answer

B. e-1

Step-by-step solution

Suppose, I= _0^ / 2 x e^ x d x Let x=t x d x=d t x 0 t 0 and x 2 t 1 So I= _0^1 e^t d t= [e^t ]_0^1=e-1

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