anonymous
  • anonymous
Integrals & Even functions??
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Given that f is an even function and \[\int\limits_{0}^{2}f(t)dt=17\], what is \[\int\limits_{-2}^{2}f(t)dt\]?
amistre64
  • amistre64
it is twice the area right? so from [-2,2] the area = 34..if I recall correctly
amistre64
  • amistre64
or you could simply move the function over by +2\[\int\limits_{0}^{4}f(x+2)dx\]

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amistre64
  • amistre64
maybe that should be f(x-2)....kinda fuzzy about that part :)
amistre64
  • amistre64
but if anything, just double your [0,2] answer.....
anonymous
  • anonymous
Well I wasn't sure if the answer was 0 or 34. Becuase I thought one area would cancel out the other at times. So it doesn't? You just add them?

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