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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