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Write a Value of ∫ E X ( Sin X + Cos X ) D X - Mathematics

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प्रश्न

Write a value of

\[\int e^x \left( \sin x + \cos x \right) \text{ dx}\]

 

योग
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उत्तर

Let I=\[\int\] ex (sin x + cos xdx

Let ex sin x = t
⇒ (ex . sin x + ex cos xdx = dt

\[\therefore I = \int dt\]
\[ = t + C\]
\[ = e^x \sin x + C \left( \because t = e^x \sin x \right)\]

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अध्याय 19: Indefinite Integrals - Very Short Answers [पृष्ठ १९७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Very Short Answers | Q 5 | पृष्ठ १९७

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