Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

$\int\limits_0^{2π}[|\sin x|+|\cos x|]dx$, where [.] denotes the greatest integer function, is equal to:

Options:

$π$

$2π$

$π/\sqrt{2}$

$π\sqrt{2}$

Correct Answer:

$2π$

Explanation:

|sin x| and |cos x| and add :

$⇒I=\int\limits_0^{2π}[|\sin x|+|\cos x|]dx=\int\limits_0^{2π}1.dx=2\pi$