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Evaluate `Int (Cos 2x + 2sin^2x)/(Cos^2x) Dx` - CBSE (Commerce) Class 12 - Mathematics

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Question

Evaluate `int (cos 2x + 2sin^2x)/(cos^2x) dx`

Solution

`(cos 2x + 2sin^2x)/(cos^2x)`

`= (cos 2x + (1-cos 2x))/cos^2x`      [`cos 2x = 1  - sin^2 x`]

`= 1/cos^2x`

`= sec^2 x`

`:. int (cos^2x + 2sin^2x)/cos^2x` dx = `int sec^2 x dx = tanx + C`

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Solution Evaluate `Int (Cos 2x + 2sin^2x)/(Cos^2x) Dx` Concept: Properties of Indefinite Integral.
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