Integrate the following functions with respect to x : cos 3x cos 2x - Mathematics

Integrate the following functions with respect to x :

cos 3x cos 2x

योग

`int cos 3x cos 2x "d"x = int 1/2 (2 cos 3x cos 2x) "d"x`

= `1/2 int [cos(3x + 2x) + cos(3x - 2x)] "d"x`

= `1/2 int (cos 5x + cos x) "d"x`

= `1/2 [int cos 5x "d"x + int cos x "d"x]`

= `1/2 [(sin 5x)/5 + sin x] + "c"`

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अध्याय 11: Integral Calculus - Exercise 11.5 [पृष्ठ २०२]

अध्याय 11 Integral Calculus
Exercise 11.5 | Q 10 | पृष्ठ २०२

Find the volume of solid generated by rotating the area bounded by x²+y² =36 and the lines x = 0, x = 3 about X -axis.

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`(1 + cos 4x)/(cos x - tan x)`

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`(x + 1)/((x + 2)(x + 3))`

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`cot x/(log(sin x))`

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`alpha beta x^(alpha - 1) "e"^(- beta x^alpha)`

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`"e"^(- 4x) sin 2x`

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`1/(9x^2 - 4)`

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`(3x + 1)/(2x^2 - 2x + 3)`

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`(x + 2)/sqrt(x^2 - 1)`

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`sqrt((6 - x)(x - 4))`

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`sqrt(81 + (2x + 1)^2`