Advertisements
Advertisements
प्रश्न
\[\int x e^x \text{ dx }\]
योग
Advertisements
उत्तर
\[\int x e^x \text{ dx }\]
` "Taking x as the first function and e"^x " as the second function"`
\[ = x\int e^x dx - \int\left\{ \frac{d}{dx}\left( x \right)\int e^x dx \right\}dx\]
\[ = x e^x - \int1\left( e^x \right)dx\]
\[ = x e^x - e^x + C\]
\[ = \left( x - 1 \right) e^x + C\]
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
