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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: The value of d∫-44[tan-1 (x2x4+1)+tan-1(x4+1x2)]dx is - Mathematics

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Question

Choose the correct alternative:

The value of `int_(-4)^4 [tan^-1  ((x^2)/(x^4 + 1)) + tan^-1 ((x^4 + 1)/x^2)] "d"x` is

Options

  • `pi`

  • `2pi`

  • `3pi`

  • `4pi`

MCQ

Solution

`4pi`

shaalaa.com
Fundamental Theorems of Integral Calculus and Their Applications
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Chapter 9: Applications of Integration - Exercise 9.10 [Page 140]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 9 Applications of Integration
Exercise 9.10 | Q 5 | Page 140
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