Maharashtra State BoardHSC Arts 12th Board Exam
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Choose the correct option from the given alternatives : ∫121x2e1x⋅dx = - Mathematics and Statistics

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MCQ

Choose the correct option from the given alternatives : 

`int_1^2 (1)/x^2 e^(1/x)*dx` = 

Options

  • `sqrt(e) + 1`

  • `sqrt(e) - 1`

  • `sqrt(e)(sqrt(e) - 1)`

  • `(sqrt(e) - 1)/e`

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Solution

`sqrt(e)(sqrt(e) - 1)`

Concept: Fundamental Theorem of Integral Calculus
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 4 Definite Integration
Miscellaneous Exercise 4 | Q 1.06 | Page 175
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