Posted by **Skirby** on Monday, November 18, 2013 at 8:16pm.

Consider the function f(x)=(7/x^2)-(6/x^6).

Let F(x) be the antiderivative of f(x) with F(1)=0.

Then F(2) equals _____.

- Calculus -
**Reiny**, Monday, November 18, 2013 at 10:19pm
Write it as

f(x) = 7x^-2 - 6x^-6

F(x)= -7x^-1 + (6/5)x^-5 + c

F(2) = -7/2 + (6/5)/2^5 + c

= ......

- Calculus -
**Steve**, Tuesday, November 19, 2013 at 12:29am
since F(1) = 0, we have

-7 + 6/5 + c = 0

which you can plug in to evaluate F(2)

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