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∞ ∫ 0 E − X D X . - Mathematics

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Question

\[\int\limits_0^\infty e^{- x} dx .\]

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Solution

\[\int_0^\infty e^{- x} d x\]

\[ = - \left[ e^{- x} \right]_0^\infty \]

\[ = - \left( 0 - 1 \right)\]

\[ = 0 + 1\]

\[ = 1\]

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Definite Integrals

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Chapter 20: Definite Integrals - Very Short Answers [Page 115]

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RD Sharma Mathematics [English] Class 12

Chapter 20 Definite Integrals
Very Short Answers | Q 10 | Page 115

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