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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: ed∫ex(x2tan-1x+tan-1x+1)x2+1 dx is - Mathematics

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Question

Choose the correct alternative:

`int ("e"^x(x^2 tan^-1x + tan^-1x + 1))/(x^2 + 1)  "d"x` is

Options

  • ex tan-1 (x + 1) + c

  • tan-1 (ex) + c

  • `"e"^x (tan^-1 x)^2/2 + "c"`

  • ex tan-1 x + c

MCQ

Solution

ex tan-1 x + 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 13 | Page 226
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