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Evaluate int z 0 sin x - cos x dx hspace 1mm Wh... - JAMB Mathematics 1999 Question

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}

Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)
A
\(\sqrt{2 +1}\)
B
\(\sqrt{2 }-1\)
C
\(-\sqrt{2 }-1\)
D
\(1-\sqrt{2}\)
correct option: b
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