anonymous
  • anonymous
Let f of x equals 4 minus x for x less than or equal to 4 and equals the quantity 2 times x minus 8 for x greater than 4. Use geometric formulas to evaluate the integral from x = 0 to x = 6 of f of x, dx.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
https://gyazo.com/64f1d993ba6598e4fda9eb3f48f37c0e
anonymous
  • anonymous
@jim_thompson5910 I'm well aware of how to solve but for some reason I keep getting a negative number
jim_thompson5910
  • jim_thompson5910
did you graph out f(x) first?

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anonymous
  • anonymous
No, is there a need to?
jim_thompson5910
  • jim_thompson5910
yes, it will help you visualize and find the areas
jim_thompson5910
  • jim_thompson5910
you won't even need calculus at all really
jim_thompson5910
  • jim_thompson5910
I used desmos to graph the piecewise function https://www.desmos.com/calculator/lo1rtbizi5 I restricted the domain to the interval \(\Large 0 \le x \le 6\)
anonymous
  • anonymous
So just evaluate the area?
jim_thompson5910
  • jim_thompson5910
yes. you'll have 2 triangles basically
anonymous
  • anonymous
You get 12 doing so
jim_thompson5910
  • jim_thompson5910
yep 12
anonymous
  • anonymous
Thanks. One last one if you don't mind.

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