Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the x-axis. y = 36 – x2, -3 sx < 3 2л dx = Submit Answer

Determine the area of the region in the first quadrant which is bounded by the 1 curves y = 4x², y = 2x + 1 and y = -x + 1. Include a sketch by hand of the functions 2 and any key points. Shade the region that you are finding the area of. Leave your answer as an exact number, not a decimal.

show complete solution and sketch of the graph. Find the area between the curves y = x2 + 1 and y = x + 1.

Find the area enclosedby the parabola y=x² - 8x+15 and the x-axis.