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Question
Evaluate \[\int(\sin x+\cos x)\,dx.\]
Options
\[-\cos x-\sin x+C\]
\[-\cos x+\sin x+C\]
\[\sin x\cos x+C\]
\[\cos x+\sin x+C\]
MCQ
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Solution
Apply the Sum Rule to integrate each term separately. Since \[\int\sin x\,dx=-\cos x\] and \[\int\cos x\,dx=\sin x,\] the result is \[-\cos x+\sin x+C.\]
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