Use the definite integral to find the area between the x-axis and f(x) over the indicated interval, Check first to see if the graph crosses the x-axis in the given interval. 1(x)=32-2x²: (0,7)

Find f(1) and f(2). f(x)=x+7

Find the enclosed area of the following lines and curves. Graph the given functions and properly label it. Show the strip used in the graph. y=x^2 - 4 and y=0 (x-axis)

Use right and left endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. f(x) = 2x + 2, [0, 2], 4 rectangles Step 1 To find two approximations of the area of the region between the graph of the function f(x) = 2x + 2 and the x-axis over the interval [0, 2] using 4 rectangles, first partition the interval [0, 2 ] into n = Then the width of each rectangle is given by using the following formula. b - a Step 3 Ax = Step 2 Therefore, the width of each rectangle is b - a n Ax = n -0.5 4 Consider the right endpoints approximation of the area of the region. Then substitute Ax = 2 Observe the region between the graph of the function f(x) = 2x + 2 and the x-axis over the interval [0, 2] with four circumscribed rectangles, which is shown below. Submit - 0 6 5 3 0.5 1.0 The right endpoints of the n intervals are Ax(i) where i = 1 to 4 1.5 Thus, the right end points of four…