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Integrate the following with respect to the respective variable : 3-2sinxcos2x - Mathematics and Statistics

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Question

Integrate the following with respect to the respective variable : `(3 - 2sinx)/(cos^2x)`

Sum

Solution

Let I = `int (3- 2sinx)/(cos^2x)*dx`

= `int(3/(cos^2x) - (2sinx)/(cos^2x))*dx`

= `3 int sec^2x*dx - 2int sec x tanx*dx`

= 3 tan x – 2 sec x + c.

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Chapter 3: Indefinite Integration - Miscellaneous Exercise 3 [Page 150]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 3 Indefinite Integration
Miscellaneous Exercise 3 | Q 2.5 | Page 150

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