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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: d∫x+2x2-1 dx is - Mathematics

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Question

Choose the correct alternative:

`int (x + 2)/sqrt(x^2 - 1)  "d"x` is

Options

  • `sqrt(x^2  - 1) - 2log |x + sqrt(x^2 - 1)| + "c"`

  • `sin^-1x - 2log |x + sqrt(x^2 - 1)| + "c"`

  • `2log |x + sqrt(x^2 - 1)| - sin^-1x + "c"`

  • `sqrt(x^2  - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`

MCQ

Solution

`sqrt(x^2  - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`

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Chapter 11: Integral Calculus - Exercise 11.13 [Page 227]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.13 | Q 22 | Page 227
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