Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative : ∫-23dxx+5 = - Mathematics and Statistics

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MCQ

Choose the correct alternative : 

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

Options

  • `-log(8/3)`

  • `log(8/3)`

  • `log(3/8)`

  • `-log(3/8)`

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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)`.

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 1.02 | Page 148
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