$\smallint \,\,\frac{{\cos \,\,2x}}{{\cos \,\,x}}\,\,dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{\cos \,\,2x}}{{\cos \,\,x}}\,\,dx

is equal to

View answer and explanation

Correct option: A

2\,\,\sin \,\,x + \log \,\,\left( {\sec \,\,x - \,\tan x} \right) + C

Option A (

2\,\sin \,x + \log \,\left( {\sec \,x - \,\tan x} \right) + C

) is correct because after simplifying the integral using trigonometric identities and integrating, the result is

2\sin x + \log(\sec x - \tan x) + C

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