(cos2x + 2sin²x)/cos²x.dx
Integrate the function
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Given: The term (cos2x + 2sin²x)/cos²x.dx
To find: Integrate the function
Solution:
- Now we have given the function as (cos2x + 2sin²x)/cos²x dx
- Now using the formula of cos 2x, we get:
(1 - 2 sin^2 x + 2 sin^2 x) / cos^2 x dx
- Now simplifying it, we get:
1 / cos^2 x dx
sec^2 x dx
tan x + C
Answer:
So the integration of (cos2x + 2sin²x)/cos²x.dx is tan x + C.
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