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Choose the correct alternative : ∫23x4⋅dx = - Mathematics and Statistics

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Question

Choose the correct alternative :

`int_2^3 x^4*dx` =

Options

  • `(1)/(2)`

  • `(5)/(2)`

  • `(5)/(211)`

  • `(211)/(5)`

MCQ

Solution

`int_2^3 x^4*dx` = `[x^5/5]_2^1`

= `(1)/(5)(3^5 - 2^5)`

= `(1)/(5)(243 - 32)`

= `(211)/(5)`.

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Fundamental Theorem of Integral Calculus
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Chapter 6: Definite Integration - MISCELLANEOUS EXERCISE - 6 [Page 149]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 6 Definite Integration
MISCELLANEOUS EXERCISE - 6 | Q I) 6) | Page 149
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