∴∫_0^10 π|sin x|dx=10 ∫_0^π|sin x|dx ∴ |sin x| is positive in I amp; II quadrant and has period π =10∫_0^π sin x dx=10[ cos x]^x_0=20 ...

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First Fundamental Theorem of Calculus

∫010 π|sin x|...

Question

$\int_{0}^{10 π} | s i n x | d x i s$

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Solution

The correct option is A 20
$∴ \int_{0}^{10 π} | s i n x | d x = 10 \int_{0}^{π} | s i n x | d x$
$∴ | s i n x | i s$ positive in I & II quadrant and has period $π$
$= 10 \int_{0}^{π} s i n x d x = 10 [- c o s x]_{0}^{x} = 20$

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