Maharashtra State BoardHSC Commerce 12th Board Exam
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Fill in the blank : ∫-23dxx+5 = _______ - Mathematics and Statistics

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Fill in the Blanks

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

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Solution

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)`.

Concept: Fundamental Theorem of Integral Calculus
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
Miscellaneous Exercise 6 | Q 2.07 | Page 149
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