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

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Question

Write a value of

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

 

Sum
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Solution

Let I=\[\int\] ex (sin x + cos x) dx

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

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

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Chapter 18: Indefinite Integrals - Very Short Answers [Page 197]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 18 Indefinite Integrals
Very Short Answers | Q 5 | Page 197

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