O Points: 0 of 5 View an example | All parts showing X Find the area under the graph of the function over the interval given. y = x ; [2, 5] To find the area under the graph of a nonnegative, continuous function f over the interval [a,b], find any antiderivative F(x) of f(x). Then evaluate F(x) using b and a, and compute F(b) - F(a). The result is the area under the graph over the interval [a, b]. In this case, f(x) = x", with a = 2 and b = 5. The general form of the antiderivative of f(x) = x* is F(x) = _x The simplest antiderivative is the one for which the constant of integration is 0, so use F(x) = 5x5. x5 Substitute 5 and 2, and find the difference F(5) - F(2). First find F(5). F(5) = . 59 =625 Now find F(2). F(2) = . 25 = 32 5 Subtract to find the area over [2, 5]. F(5) - F(2) = 625 - 32 5 3093 5 3093 Thus, the area under the curve is 5 , or 6185Find the area under the graph of the function over the interval given. y=x ; [2, 5] The area under the curve is (Simplify your answer.)