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Evaluate the following definite integral: ∫-231x+5⋅dx - Mathematics and Statistics

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Question

Evaluate the following definite integral:

`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 - EXERCISE 6.1 [Page 145]

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