7. Consider the integral √y+1 (b) dx dy. √y+1 (a) Sketch the region of integration, making sure to label axes and points of intersection and to shade the relevant region. Evaluate the integral by changing the order of integration.

Consider the function vx+1 on the interval [3,6]. (a) Sketch this function on the given interval. (b) Using 9 rectangles of equal width, calculate the right-endpoint approximation for this function to four decimal places. R9 %3D (c) Use integration to calculate the exact area under the curve on this interval. Express your answer to 4 decimal places. Area = (d) Calculate the percent error between your approximation from part (b) and the exact value from part (c). Express your answer as a percentage to 2 decimal places. % error =

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