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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: d∫1-x1+x dx is - Mathematics

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Question

Choose the correct alternative:

`int sqrt((1 - x)/(1 + x))  "d"x` is

Options

  • `sqrt(1 - x^2) + sin^-1x + "c"`

  • `sin^-1x - sqrt(1 - x^2) + "c"`

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

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

MCQ

Solution

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

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Chapter 11: Integral Calculus - Exercise 11.13 [Page 226]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.13 | Q 16 | Page 226
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