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Solve the following : ∫-231x+5⋅dx - Mathematics and Statistics

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Question

Solve the following : `int_(-2)^3 (1)/(x + 5)*dx`

Sum

Solution

Let I = `int_(-2)^3 (1)/(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
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Chapter 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [Page 150]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q IV) 7) | Page 150
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