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∫(ex)·cos(nx)dx
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Solution
nexsin(nx)n2+1+excos(nx)n2+1+C
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Solution steps
Solve by:
One step at a time
∫excos(nx)dx
Apply Integration By Parts:ex1nsin(nx)−∫ex1nsin(nx)dx
=ex1nsin(nx)−∫ex1nsin(nx)dx
Take the constant out: ∫a·f(x)dx=a·∫f(x)dx
=ex1nsin(nx)−1n·∫exsin(nx)dx
Apply Integration By Parts:−ex1ncos(nx)−∫−ex1ncos(nx)dx