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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: d∫sec2xtan2x-1 dx - Mathematics

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Question

Choose the correct alternative:

`int (sec^2x)/(tan^2 x - 1)  "d"x`

Options

  • `2 log |(1 - tan x)/(1 + tan x)| + "c"`

  • `log |(1 + tan x)/(1 - tan x)| + "c"`

  • `1/2 log |(tan x + 1)/(tan x - 1)| + "c"`

  • `1/2 log |(tan x - 1)/(tan x + 1)| + "c"`

MCQ

Solution

`1/2 log |(tan x - 1)/(tan x + 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 19 | Page 227
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