Question

1. Let
f(x) =
8
<
:
0 if x < 0
x if 0  x  1
2 x if 1 < x  2
0 if x > 2
and define a new function g(x) =
Z x
0
f(t) dt.
(a) Find an expression for g(x) similar to the one for f(x).
(b) Sketch the graphs of f and g.?