PLEASE SOLVE USING MAPLE

Question 1 For each function f(x) given below, define F(x) = f(t) dt. a Is F(x) an antiderivative of f(x)? Plot f(x) and F(x) in the same window for x e [a, b]. How is F(x) related to the area between f(x) and the x-axis on [a, b]? (a) f(x) = =z, a= 1, b = 10 (b) f(x) = sin x, a = 0, b = n (c) f(x) = =x4 -2x3 +4x2, a= 0, b=5 (d) f(x) = =x4 - 2x3 + 4 x2, a = 0, b=6