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1 ∫ 0 E { X } D X .

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Question

\[\int\limits_0^1 e^\left\{ x \right\} dx .\]
Sum
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Solution

\[\text{We have}, \]
\[I = \int_0^1 e^\left\{ x \right\} d x\]
\[\text{We know that}, \]
\[\left\{ x \right\} = x\text{, when }0 < x < 1\]
\[ \therefore I = \int_0^1 e^x d x\]
\[ = \left[ e^x \right]_0^1 \]
\[ = e^1 - e^0 \]
\[ = e - 1\]

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Chapter 19: Definite Integrals - Very Short Answers [Page 116]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 19 Definite Integrals
Very Short Answers | Q 40 | Page 116

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