मराठी

1 ∫ 0 E { X } D X . - Mathematics

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प्रश्न

\[\int\limits_0^1 e^\left\{ x \right\} dx .\]
बेरीज
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उत्तर

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

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Definite Integrals
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पाठ 20: Definite Integrals - Very Short Answers [पृष्ठ ११६]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 20 Definite Integrals
Very Short Answers | Q 40 | पृष्ठ ११६

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