Answer (Detailed Solution Below)

Option 1 : 1
Free
Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

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संकल्पना:

1. खंडश:समाकलन: खंडश:समाकलन गुणनफलों का समाकल ज्ञात करने की एक विधि है। 

खंडश:समाकलन के लिए सूत्र निम्न द्वारा दिया गया है;

⇒ ∫ uv dx = u(x) ∫ v(x) dx - ∫ [u'(x) ∫ v(x) dx] dx

जहाँ u, u(x) का फलन है और v, v(x) का फलन है। 

2. ILATE नियम: सामान्यतौर पर इस नियम का वरीयता क्रम व्युत्क्रम, लघुगुणक, बीजगणितीय, त्रिकोणमितीय और घातांक जैसे कुछ फलनों पर आधारित होता है। 

 

गणना:

माना कि I =  है। 

खंडश:समाकलन नियम लागू करने पर, हमें निम्न प्राप्त होता है

= (e - 0) - (e - 1)

= 1

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