# How do you evaluate the integral #int 3sinx+4cosxdx#?

This integral is easier than it looks!

The first thing that we need to realize is that we can break the integral up over the addition:

Then we can move the constants out of the integrals:

so the final answer is:

because this is an indefinite integral, we stop here and do not need to evaluate further.

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To evaluate the integral ( \int (3 \sin(x) + 4 \cos(x)) , dx ):

[ \int (3 \sin(x) + 4 \cos(x)) , dx = -3 \cos(x) + 4 \sin(x) + C ]

Where ( C ) is the constant of integration.

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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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