Ask a New Question
Search
Asked by
Anonymous
Find the antiderivative, F(x), with F′(x) = f(x) and F(0) = 1.
f(x) = −7 x
Answers
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
Related Questions
Related
"Find the antiderivative of f(x)= (2x)/((x^2)+1)." I understood how to do it with just a number a...
Find an antiderivative G of g(x)=1/x^4
find an antiderivative F(x) of f(x)=11x-sqrt(x)
find the antiderivative of: 1/1+4tdt
Find the antiderivative of e^(2lnx) + e^(2x)
Q: Find the antiderivative F of f(x)=4−3(1+x^2)^−1 that satisfies F(1)=−9. I got 4x-3arctan(x), b...
Find the antiderivative of f(x)= the 5th root of x^2. A. the 5th root of (x^3)/3 + C B. (2x^1/...
Find an antiderivative of f(x) = 3^2x + e^−3x whose graph passes through the point. (0, 1/ln 9)
Find the antiderivative F of f(x)=4−3(1+x^2)^−1 that satisfies F(1)=5.
Find an antiderivative ∫t^2sin^3(t^3) cos^2(t^3) dt.