I have this question:
If f is an odd function and g is an even function, please find the value of the following
interval 9 to -9 (f(x) +g(x)) dx.
Now I know that if f is odd then that f(x) would be zero.
For the even function it is 2 interval 9 - 0. I am not sure how to evaluate this since there are no actual numbers to plug in.
If the problem just had x then the antiderivative would be x^2/2 but we only have f(x) here.
The book indicates that the answer is 22. If so, are we adding 9+2 and then multiplying by 2? If so, why?
I'm trying hard to get it.
If f is an odd function and g is an even function, please find the value of the following
interval 9 to -9 (f(x) +g(x)) dx.
Now I know that if f is odd then that f(x) would be zero.
For the even function it is 2 interval 9 - 0. I am not sure how to evaluate this since there are no actual numbers to plug in.
If the problem just had x then the antiderivative would be x^2/2 but we only have f(x) here.
The book indicates that the answer is 22. If so, are we adding 9+2 and then multiplying by 2? If so, why?
I'm trying hard to get it.
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