anonymous
  • anonymous
how do i find the area between f(x)= x^2+1 and g(x)= 11-x^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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dumbcow
  • dumbcow
\[\int\limits_{a}^{b}(g(x) - f(x)) dx\]
amistre64
  • amistre64
you need to have bounds; if the two cross paths you can use that, but an interval is usually stated.
anonymous
  • anonymous
i found the bounds to be -sqrt(5) and sqrt(5) but when i put them into the integral equation, i get some crazy number that isn't right...

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anonymous
  • anonymous
Did you integrate yet?
anonymous
  • anonymous
right now i have [(1/3)x^3+x]-[11x-(1/3)x^3] for the two integrals
amistre64
  • amistre64
only do half of it; then double your answer
anonymous
  • anonymous
what am i doing half of?
dumbcow
  • dumbcow
instead of integrating from -sqrt(5) to sqrt(5), integrate from 0 to sqrt(5) and then double your answer this is due to symmetry of parabolas
dumbcow
  • dumbcow
you have already done the integration just evaluate at sqrt(5) into what you posted above
anonymous
  • anonymous
okay, thank you =)
dumbcow
  • dumbcow
your welcome

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