A) \[2\sec x+c\]
B) \[2\tan x+c\]
C) \[\tan x+c\]
D) None of these
Correct Answer: C
Solution :
\[\int_{{}}^{{}}{\frac{\cos 2x+2{{\sin }^{2}}x}{{{\cos }^{2}}x}\,dx}=\int_{{}}^{{}}{\frac{2({{\cos }^{2}}x+{{\sin }^{2}}x)-1}{{{\cos }^{2}}x}\,dx}\] \[=\int_{{}}^{{}}{{{\sec }^{2}}x\,dx}=\tan x+c\].You need to login to perform this action.
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