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Question
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Solution
\[Let\ I = \int_0^\frac{\pi}{2} \left( \sin x + \cos x \right) d x . Then, \]
\[I = \left[ - \cos x + \sin x \right]_0^\frac{\pi}{2} \]
\[ \Rightarrow I = 0 + 1 - \left( - 1 + 0 \right)\]
\[ \Rightarrow I = 2\]
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