Integrating by parts: recurring
Integrating by parts: recurring
IB Year 6 | Grade 12
Find
- \(\displaystyle \displaystyle \displaystyle\int e^x \cos x \, \mathrm{d}x\);
- \(\displaystyle \displaystyle \displaystyle\int e^x \sin 2x \, \mathrm{d}x\).
Solution:
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Answer:(a) \(\frac{\mathrm e^x}{2}(\sin x+\cos x)+C\). (b) \(\frac{\mathrm e^x}{5}(\sin2x-2\cos2x)+C\).
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