anonymous
  • anonymous
Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What is the integral from f(x) dx from -7 to -1?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
think if we have the integral of x^2 from -2..2 =16/3 if we have the integral of x^2 from 0..2=8/3 if we have the integral of x^2 from -2..0=8/3 so lets think about your problem
anonymous
  • anonymous
Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
myininaya
  • myininaya
right

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myininaya
  • myininaya
think about x^2 from 0..1, its 1/3 from 0..7. its 7^3/3 from -1..7 its 7^3/3+1/3
myininaya
  • myininaya
that last one is suppose to say -1..-7
anonymous
  • anonymous
is it negative -4
myininaya
  • myininaya
no what happen to x^2?
myininaya
  • myininaya
if you see what happen to x^2, you can see what will happen here
myininaya
  • myininaya
oh wait sorry i messed up on that last integral you might be right lol
anonymous
  • anonymous
Oh sorry I was figuring out the problem but you you would just flip the parameters and change the signs around right!
myininaya
  • myininaya
-4 u r right lol
myininaya
  • myininaya
from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
anonymous
  • anonymous
Okay I understand! So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4

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