# How do you integrate #e^x*cos(x)#?

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Going to have to use integration by parts twice.

Now use IBP on the red term.

Group the integrals together:

Therefore

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We use,

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To integrate e^x*cos(x), you can use integration by parts.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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