CUET Preparation Today
$\int\limits_0^{2π}[|\sin x|+|\cos x|]dx$, where [.] denotes the greatest integer function, is equal to: |
$π$ $2π$ $π/\sqrt{2}$ $π\sqrt{2}$ |
$2π$ |
|sin x| and |cos x| and add :
$⇒I=\int\limits_0^{2π}[|\sin x|+|\cos x|]dx=\int\limits_0^{2π}1.dx=2\pi$ |
