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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Integrate the following with respect to x. 2 cos x – 3 sin x + 4 sec2x – 5 cosec2x - Business Mathematics and Statistics

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Question

Integrate the following with respect to x.

2 cos x – 3 sin x + 4 sec2x – 5 cosec2x

Sum

Solution

`int 2 cos x - 3 sinx + 4 sec^2x - 5  "cosec"^2x`

= `2 int cos x  "d"x - 3 int sin x  "d"x + 4 int sec^2x - 5 int  "cosec"^2 x  "d"x`

= 2 sin x + 3 cos x + 4 tan x + 5 cot x + c

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Indefinite Integrals
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Chapter 2: Integral Calculus – 1 - Exercise 2.4 [Page 33]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 2 Integral Calculus – 1
Exercise 2.4 | Q 1 | Page 33
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