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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Integrate the following functions with respect to x: sec2 x5 - Mathematics

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Question

Integrate the following functions with respect to x:

`sec^2  x/5`

Sum

Solution

`[int sec^2 ("a"x + "b")  "d"x = 1/"a" tan ("a"x + "b") + "c"]`

`int sec^2  x/5  "d"x = 1/(1/5) tan (x/5) + "c"`

= `5 tan (x/5) + "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. (i) | Page 190
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