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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Fill in the blank : ∫-23dxx+5 = _______ - Mathematics and Statistics

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प्रश्न

Fill in the blank : `int_(-2)^3 dx/(x + 5)` = _______

रिकाम्या जागा भरा

उत्तर

Let I = `int_(-2)^3 dx/(x + 5)*dx`

= `[log |x + 5|]_(-2)^3`
= [log |3 + 5| – log |–2 + 5|]
= log 8 – log 3

∴ I = `log(8/3)`.

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Fundamental Theorem of Integral Calculus
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [पृष्ठ १४९]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q II) 7) | पृष्ठ १४९
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