What is f(x) = int -x^3+3x-4 dx if f(2) = -3 ?
1 Answer
Feb 21, 2017
Explanation:
Integrate each term using the
color(blue)"power rule for integration"
color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(int(ax^n)=a/(n+1)x^(n+1) ; n≠-1)color(white)(2/2)|)))
rArrint(-x^3+3x-4)dx
f(x)=-1/4x^4+3/2x^2-4x+c
"solve for c, given "f(2)=-3
-3=-4+6-8+crArrc=3
rArrf(x)=-1/4x^4+3/2x^2-4x+3