X The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate 4 0 A(3), A(6), A(9), and A(13). - of circle radius 3 A(3) = (Type an exact answer in terms of x.) A(6) = (Type an exact answer in terms of x.) A(9) = (Type an exact answer in terms of x.) A(13) = (Type an exact answer in terms of x.)The figure to the right shows four regions bounded by the A graph of y = x sin x: Ry , R2, Rg, and RA, whose areas Ama = 7 + 1 are 1, x - 1, x+ 1, and 2x - 1, respectively. Use this information to evaluate the following integral. RI T 2x Ra And = 7 - 1 RA x sin x dx Area = 2w - 1Use the figures to calculate the left and y 4 + right Riemann sums for f on the given f(x)=x+4 f(x) =x+4 interval and the given value of n. 8- 8- f(x) = x + 4 on [0,5]; n = 5 4 4 2 The left Riemann sum is (Simplify your answer.) The right Riemann sum is (Simplify your answer.)Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the limit as a definite integral. n lim E xk sin Ax: [2,3] 4+0k= 1 The limit, expressed as a definite integral, is