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  4. The value of the integral ∫ limits0π| sin 2 x | dx is

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Q. The value of the integral $\int\limits_{0}^{\pi}|\sin 2 x | dx$ is

JEE MainJEE Main 2021Integrals

Solution:

Put $2 x=t \Rightarrow 2 d x=d t$
$\Rightarrow I=\frac{1}{2} \int\limits_{0}^{2 \pi}|\sin t| d t$
$=\int\limits_{0}^{\pi}|\sin t| d t$
$=2$