2. (20 points) Consider the function f(x) = x - 2x, defined over the interval [0,2]....

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2. (20 points) Consider the function f(x) = x - 2x, defined over the interval [0,2]. i) (5 points) Using midpoints as sample points, compute the Riemann sum with 6 equal width subintervals. .3 ii) (10 points) Compute for f(x)dx using the definition interpreted as defined in lecture.) .3 n 3 L f(x)dx: = lim f(x)dx; Ax. (The terms xi, Ax, are to be NX i=0 iii) (5 points) Compute for f (x) da using antiderivatives. 2. (20 points) Consider the function f(x) = x - 2x, defined over the interval [0,2]. i) (5 points) Using midpoints as sample points, compute the Riemann sum with 6 equal width subintervals. .3 ii) (10 points) Compute for f(x)dx using the definition interpreted as defined in lecture.) .3 n 3 L f(x)dx: = lim f(x)dx; Ax. (The terms xi, Ax, are to be NX i=0 iii) (5 points) Compute for f (x) da using antiderivatives.