flyers
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Homework Statement
The Attempt at a Solution
I have no idea how to start this integral. Can anybody give me a hint to start it off?
Thank you.
Why Is the Definite Integral Zero for Symmetric Functions?
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I have no idea how to start this integral. Can anybody give me a hint to start it off?
Thank you.
Discussion
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Sketch a graph. Anything strike you about the relation between the part of the graph for x<0 vs x>0?
flyers
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Well I noticed that x>0 is the reflection of x<0 except with negative values. Does this mean that the answer is 0? Also is it even possible to solve this integral?
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No, you aren't going to get far trying to find an indefinite integral. But the definite integral is zero. In general, if f(-x)=(-f(x)) then the integral over a symmetric interval around zero is zero. You can formally show this by splitting the integral into two parts and working out their relation by doing the substitution u=(-x).