मराठी

Evaluate \[\int(\sin x+\cos x)\,dx.\]

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प्रश्न

Evaluate \[\int(\sin x+\cos x)\,dx.\]

पर्याय

  • \[-\cos x-\sin x+C\]

  • \[-\cos x+\sin x+C\]

  • \[\sin x\cos x+C\]

  • \[\cos x+\sin x+C\]

MCQ
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उत्तर

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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