1. [-/1 Points] DETAILS LARCALCET7 5.3.003. MY N Use Example 1 as a model to evaluate the limit lim i = 1 over the region bounded by the graphs of the equations. (Round your answer to three decimal places.) f(x) = Vx, y=0, x=0, x=3 Hint: Let ci = 3/2Write the limit as a definite integral on the interval [a, b], where c is any point in the /th subinterval. Limit Interval lim S (20; + 5) Ax; [-6, 4] i = 1 dx - 6Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) = 4 - 1x/ dx 2 1 -4 -2 2 4 -17Write a definite integral that yields the area of the region. (Do not evaluate the integral.) g(y) = y3 dy 3 X 2 4 6Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(y) = (y - 2)2 dy 4 3 19 3 4Sketch the region whose area is given by the definite integral. V16 - x 2 dx 6- 2 1 -4 -2 2 X 4 0-4 - 2 X 2 4 15 3 10 21 5y 15 WebAssign Plot 1 X LX .4 -2 2 4 -4 -2 2 4 X Then use a geometric formula to evaluate the integral (a > 0, r > 0). -1 X8. [-/4 Points] DETAILS LARCALCET7 5.3.045. Given f(x) dx = 11 and f(x) dx = 4, evaluate (a) f(x) dx. 0 (b ) f(x) dx. 15 5 (c) f(x) dx. 15 5 (d) 3f(x) dx.9. [-/4 Points] DETAILS LARCALCET7 5.3.048. Given "