for some reason i am having trouble remembering how to integrate from a negative bound to positive. my example is the integral from -2 to 2 of 4-x^2

Question

for some reason i am having trouble remembering how to integrate from a  negative bound to positive. my example is the integral from -2 to 2 of 4-x^2

owlfred · Answer

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anonymous · Answer

now since 1/ is an even function u can reduce the limits from 0 to 2 and re write it as,
2(4-x^2)... now continue normally.....can u?

anonymous · Answer

Take the integral of the equation
$$4x-1/3x^3$$
from -2 to 2
put in the higher bound and subtract the lower bound
16/3-(-16/3)
=32/3
True that the equation is an even function, but only with even functions do you need to split the bounds

anonymous · Answer

I got 64/3...
8 -8/3 - (-8 -8/3)=...

anonymous · Answer

or (if integrate from 0 - 2) 2*(8-8/3) = 64/3