Question
Download Solution PDFThe value of \(I = \mathop \smallint \limits_{ - 1}^1 {e^{\left| x \right|}}dx\) is equal to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
\(I=\mathop \smallint \limits_{ - 1}^1 {e^{\left| x \right|}}dx.\)
\(I= \mathop \smallint \limits_{ - 1}^0 {e^{ - x}}dx + \mathop \smallint \limits_0^1 {e^x}dx\)
\(I= \left[ { - {e^{ - x}}} \right]_{-1}^0 + \left[ {{e^x}} \right]_0^1\)
I = [-e-0 + e1] + [e1 - e0]
I = -1 + e1 + e - 1
I = 2 (e - 1)Last updated on May 26, 2025
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