Question
Download Solution PDFसमाकलित करें:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
खंडशः समाकलन:
∫ f(x) g(x) dx = f(x) ∫ g(x) dx - ∫ [f'(x) ∫ g(x) dx] dx
निश्चित समाकल:
यदि ∫ f(x) dx = g(x) + C तो
गणना:
माना कि I = ∫ (1)(log x) dx
पहले फलन के रूप में log x और दूसरे फलन के रूप में 1 को देखते हुए हमें मिलता है:
= (log x) ∫ 1 dx - ∫ [
= (log x) x - x + C
= x (log x - 1) + C
Last updated on May 21, 2025
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