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Solve ∫010 π...

Question

Solve
$\int_{0}^{10 π} (| sin x | + | cos x |) d x$

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Solution

Given,

$\int_{0}^{10 π} (| sin x | + | cos x |) d x$

$= \int_{0}^{10 π} | sin x | d x + \int_{0}^{10 π} | cos x | d x$

$= [cos x]_{0}^{10 π} + [sin x]_{0}^{10 π}$

$= 0 + 0 = 0$

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