Question
Download Solution PDFसमाकलित करा:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
भागानुसार समाकलन:
∫ f(x) g(x) dx = f(x) ∫ g(x) dx - ∫ [f'(x) ∫ g(x) dx] dx.
निश्चित समाकलन:
जर ∫ f(x) dx = g(x) + C असेल, तर
गणना:
समजा I = ∫ (1)(log x) dx.
log x ला पहिला फलन आणि 1 ला दुसरा फलन मानून, आपल्याला मिळते:
= (log x) ∫ 1 dx - ∫ [
= (log x) x - x + C
= x (log x - 1) + C
Last updated on May 21, 2025
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