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Question

\[\int x e^x \text{ dx }\]

Sum

Solution

\[\int x e^x \text{ dx }\]
` "Taking x as the first function and e"^x " as the second function"`

\[ = x\int e^x dx - \int\left\{ \frac{d}{dx}\left( x \right)\int e^x dx \right\}dx\]
\[ = x e^x - \int1\left( e^x \right)dx\]
\[ = x e^x - e^x + C\]
\[ = \left( x - 1 \right) e^x + C\]

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Indefinite Integral Problems

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Q 4 Q 3 Q 5

Chapter 19: Indefinite Integrals - Exercise 19.25 [Page 133]

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RD Sharma Mathematics [English] Class 12

Chapter 19 Indefinite Integrals
Exercise 19.25 | Q 4 | Page 133

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