Draw the slope or direction field for the function

f(x) = sin(x) + x

and find an antiderivative g of f using the initial condition g(1) = 2.

In the following LiveMath Notebook, you can see the slope field for the function y = f(x) in purple and the graph of the antiderivative g in blue. Change the values of a and b and see the corresponding change in g.

You can also change the function f. Some examples to try: