Wednesday

April 16, 2014

April 16, 2014

Posted by **Kyle** on Sunday, November 3, 2013 at 3:45pm.

9 − x/(x^2 + 1)^2.

The total cost to produce 2 boxes is $1,200. Find the total cost function

C(x).

I'm getting 9x-(1/(x^2 - 1))+1181.9 but i guess its wrong

- Brief calculus -
**Steve**, Sunday, November 3, 2013 at 8:32pmforgot that pesky factor of 2.

∫-x/(x^2+1)^2 dx

is not 1/(x^2+1)

Check the derivative:

d/dx (x^2+1)^-1 = -2x(x^2+1)^-2

So,

∫9 − x/(x^2 + 1)^2 = 9x + 1/(2(x^2+1)^2)

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