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.

Question

anonymous · Answer

https://gyazo.com/64f1d993ba6598e4fda9eb3f48f37c0e

anonymous · Answer

@jim_thompson5910 I'm well aware of how to solve but for some reason I keep getting a negative number

jim_thompson5910 · Answer

did you graph out f(x) first?

anonymous · Answer

No, is there a need to?

jim_thompson5910 · Answer

yes, it will help you visualize and find the areas

jim_thompson5910 · Answer

you won't even need calculus at all really

jim_thompson5910 · Answer

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 · Answer

So just evaluate the area?

jim_thompson5910 · Answer

yes. you'll have 2 triangles basically

anonymous · Answer

You get 12 doing so

jim_thompson5910 · Answer

yep 12

anonymous · Answer

Thanks. One last one if you don't mind.