Mathematics Integral Calculus Application of Integrals

Area bounded by the curve y = max{sinx, cosx} and x-axis, between the lines x = π/4 and x = 2π is equal to 

1
\(\rm \frac{(4\sqrt2-1)}{\sqrt2}sq \ units\)
2
(4√2 - 1) sq. units
3
\(\rm \frac{(4\sqrt2-1)}{2}sq \ units\)
4
None of these

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