Posted by Daniel on Tuesday, December 6, 2011 at 2:07am.
It is not clear if you want F'(x) or whatever you call f(x).
F'(x) = integral of F"(x)
= 4x + 3x^2 + 8x^3 + C
where C is any constant
F(x) = 2x^2 + x^3 + 2x^4 + Cx + C'
where C' is a different constant.
You could choose C and C' to make F(0) = 3 and F(1) = 10, but the problem does not ask for F(x)
F(0) = 3 = C
F(1) = 2 + 1 + 2 + 3 + C' = 10
C' = 2
F(x) = 2x^2 + x^3 + 2x^4 + 3x + 2
Related Questions
Calculus - Use the algorithm for curve sketching to sketch the graph of each ...
anti derivative - please help me find anti derivative of -sinx * cos^2x am i ...
algebra - Did I do this problem the correct way if so is there a shorter way to ...
calculus - Find the derivative using the chain rule. f(x) = ((3x-7)/(6x+3))^4 f...
Calculus - Find the area between the curves y=(x^3)-10(x^2)+24x and y=(-x^3)+10...
calculus - Find the anti-derivative of x^4... Isn't it 4x^3+c? Please help...
math calculus - (24x^3-54x^2-15x)/(6x^2-15x) i dont factor number from whole ...
pre calculus - find the real zeros of f(x)=x^4+6x^3-11x^2-24x+28
calculus - Find the first and second derivative - simplify your answer. y=x/4x+1...
calculus - What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For...
For Further Reading
