Asked by Anonymous
Find the antiderivative, F(x), with F′(x) = f(x) and F(0) = 1.
f(x) = −7 x
f(x) = −7 x
Answers
Answered by
Reiny
if F' (x) = -7x
then F(x) = -(7/2)x^2 + c
but F(0) = 1
1 = 0(-7/2) + c
c = 1
F(x) = (-7/2)x^2 + 1
then F(x) = -(7/2)x^2 + c
but F(0) = 1
1 = 0(-7/2) + c
c = 1
F(x) = (-7/2)x^2 + 1
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