Please help with calculus question!

label Calculus
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Determine the area enclosed by the curves f(x)=x^2-2x and g(x)=4-x^2

Jul 22nd, 2015

Thank you for the opportunity to help you with your question!

solve f = g 

x^2-2x = 4-x^2 

x^2 -x  -2 =0 

x =-1, x = 2

A = integrate of (g-x)dx = (4-x^2-x^2+2x) dx= (4-2x^2+2x) dx from -1 to 2

4x-2/3x^3 +x^2 

= 8-16/3 +4 +4+2/3-1 = 31//3   


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 22nd, 2015

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Jul 22nd, 2015
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Jul 22nd, 2015
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