How do I do the following:
Im having trouble plotting them on maple 2024 as well
For each function ( f(x) ) given below, define ( F(x) = \integral ,from a to x , f(t) \, dt \).
Is \( F(x) \) an antiderivative of \( f(x) \)? Plot \( f(x) \) and \( F(x) \) in the same window for \( x \in [a, b] \). How is \( F(x) \) related to the area between \( f(x) \) and the x-axis on \( [a, b] \)?
(a) ( f(x) = (1/x^2), a = 1, , b = 10 )
(b) ( f(x) = sin x, a = 0, , b = pi )
(c) ( f(x) = (1/4) x^4 - 2 x^3+ 4 x^2, , a = 0, , b = 5 )
(d) ( f(x) = (1/4) x^4 - 2 x^3 + 4 x^2, , a = 0, , b = 6 )
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