A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate ∫excos⁡x dx\displaystyle \int e^{x}\cos x\,dx. (a) exsin⁡x+Ce^{x}\sin x + C (b) ex(cos⁡x+sin⁡x)2+C\displaystyle \frac{e^{x}(\cos x+\sin x)}{2}+C (c) ex(cos⁡x+sin⁡x)+C\displaystyle e^{x}(\cos x+\sin x)+C (d) ex(cos⁡x−sin⁡x)2+C\displaystyle \frac{e^{x}(\cos x-\sin x)}{2}+C

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