MAPLE is a powerful tool in finding integrals. The MAPLE command to integrate is int.
integrate f(x) = 2*x^3.
> int(f(x), x);
Warning: MAPLE forgets to put the constant C.
integrate f(x) = 2*x^3 from x=0 to x=2. Plot f(x) and its integral on the same graph.
> int(f(x), x=0..2);
Name the integral int_f. Use the MAPLE command unapply to make int_f a function of x for MAPLE.
> int_f:=unapply(int(f(x), x), x);
> plot([f(x), int_f(x)], x=0..2);
Can you say what curve on the graph belongs to what function?
integrate the following function. Plot the function and its integral on the same graph.