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Solve the following : ∫-4-11x⋅dx - Mathematics and Statistics

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Question

Solve the following : `int_(-4)^(-1) (1)/x*dx`

Sum

Solution

Let I = `int_(-4)^(-1) (1)/x*dx`

= `[log |x|]_(-4)^(-1)`
= log | – 1| – log | – 4|
= log 1 – log 4
= 0 – log 4
∴ I = – log 4

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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) 13) | Page 150
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