Question
Download Solution PDFमान लीजिए f : R → R,
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
- निश्चित समाकल: यदि ∫ f(x)dx = g(x) + C है, तो
= g(b) - g(a) है। - यदि a ≤ c ≤ b है, तो
है। .
गणना:
दिए गए फलन को निम्न रूप में संक्षेपित किया जा सकता है:
| x | x < 0 | 0 ≤ x < 2 | 2 ≤ x |
| f(x) | x + 2 | 2 - x | x - 2 |
चूँकि दिया गया फलन बहु-मान वाले फलन हैं, इसलिए, दिए गए निश्चित समाकल को भागों में अलग करते हैं, जहाँ फलन के समीकरण अलग हैं:
=
=
=
=
= 4.5
Last updated on Jun 12, 2025
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