A function f(x) is defined as follows for x≥0.
f(x) \equal{} \sin \left(\frac {n\pi}{4}\right)\sin x\ (n\pi \leq x < (n \plus{} 1)\pi)\ (n \equal{} 0,\ 1,\ 2,\ \cdots).
Evaluate ∫0100πf(x) dx. calculusintegrationfunctiontrigonometrycalculus computations