If , what is ?
We can pull the constant out in front of the integral, then use what we were given.
We switch the limits and switch the sign:
The function f graphed below is even.
What is ?
Since
and f is even,
Let f (x) = sin x. What is ?
Since sin x is an odd function, this integral is 0.
We can also get a little more complicated and start combining rules.
We need to switch back the limits and get the 4 out of the integrand. It doesn't matter which order we do this. If we switch the limits first, we get
If we pull the 4 out first, we get
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