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Choose the correct options from the given alternatives : ∫fxx(1+logx)⋅dx - Mathematics and Statistics

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Question

Choose the correct options from the given alternatives :

`int f x^x (1 + log x)*dx`

Options

  • `(1)/(2)(1 + log x)^2 + c`

  • x2x + c

  • xx log x + c

  • xx + c

MCQ

Solution

xx + c
[ Hint : `d/dx(x^x)` = xx (1 + log x)].

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Chapter 3: Indefinite Integration - Miscellaneous Exercise 3 [Page 149]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 1.13 | Page 149

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