Tamil Nadu Board of Secondary EducationHSC Science Class 11th

Integrate the following with respect to x: e4cos(5-2x)+9e3x -6+246-4x - Mathematics

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Sum

Integrate the following with respect to x:

`4 cos(5 - 2x) + 9"e"^(3x  - 6) + 24/(6 - 4x)`

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Solution

`int [4 cos(5 - 2x) + 9"e"^(3x  - 6) + 24/(6 - 4x)] "d"x`

= `4 int cos(5 - 2x) "d"x + 9 int "e"^(3x - 6)  "d"x + 24 int 1/(6 - 4x)  "d"x`

= `(- 4)/2  cos (5 - 2x) + 9/3  "e"^(3x - 6) + 24/(- 4)  log |6 - 4x|  "d"x`

= `- 2 cos(5 - 2x) + 3"e"^(3x - 6) - 6 log|6 - 4x| + "c"`

Concept: Properties of Integrals
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 11 Integral Calculus
Exercise 11.3 | Q 2 | Page 192
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