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GUJCET · Maths · Integrals
\(\int_0^1 x e^x d x=\) _________
- A \(0\)
- B 1
- C \(e\)
- D \(-1\)
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(\int_0^1 x e^x d x = [x e^x]_0^1 - \int_0^1 e^x d x\) \(= (1 \cdot e^1 - 0 \cdot e^0) - [e^x]_0^1\)
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