CBSE Class 12 Math 2018 Solved Paper

© examsnet.com
Question : 9
Total: 29
Evaluate : ∫
cos2x+2sin2x
cos2x
dx
Solution:  
Given I = ∫
cos2x+2sin2x
cos2x
dx
I =
cos2xsin2x+2sin2x
cos2x
dx ... (Since cos 2x = cos2xsin2x)
I = ∫
cos2x+sin2x
cos2x
dx
I = ∫ sec2 x dx
I = tan x + C
© examsnet.com
Go to Question: