Consider the function whose second derivative is f''(x)=7x+6sin(x).
If f(0)=2 and f'(0)=3 , find f(x) .
f'(x)
=∫f"(x)dx
=(7x^2)/2-6cos(x)+C1
substitute f'(0)=3 to solve for C1.
f(x)
=∫f'(x)dx
=(-6)*sin(x)+(7*x^3)/6+C1*x+C2
substitute f(0)=2 to solve for C2
