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

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प्रश्न

Evaluate the following definite integral:

`int_(-2)^3 (1)/(x + 5)*dx`

बेरीज

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Definite Integration - EXERCISE 6.1 [पृष्ठ १४५]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 6 Definite Integration
EXERCISE 6.1 | Q 2. | पृष्ठ १४५
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