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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Integrate the following functions with respect to x: 30 sec(2 – 15x) tan(2 – 15x) - Mathematics

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Question

Integrate the following functions with respect to x:

30 sec(2 – 15x) tan(2 – 15x)

Sum

Solution

`[int sec ("a"x + "b") tan ("a"x + "b") "d"x = 1/"a" sec ("a"x + "b") + "c"]`

`int 30 sec(2 - 15x) tan(2 - 15x)  "d"x = 30 xx 1/(- 15) xx sec (2 - 15x) + "c"`

= `- 2 sec(2 - 15x) + "c"`

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Chapter 11: Integral Calculus - Exercise 11.2 [Page 190]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.2 | Q 4. (iii) | Page 190
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