# Calculus: Other Calculus Problems – #18938

Question: Let $$g\left( x \right)=\int\limits_{-2}^{x}{f\left( t \right)dt}$$ where f is the function whose graph is shown.

(a) Evaluate g(0) & g(3).

(b) Estimate g(4.4).

(c) Sketch a rough graph of g.

(d) Use part c to sketch the graph of g’(x).