(Solved): = x. Decide whether to integrate with respect to x or to y. Draw a typical 1. Sketch the region en ...

= x. Decide whether to integrate with respect to x or to y. Draw a typical 1. Sketch the region enclosed by the curves 2x + y² = 48 and y approximating rectangle. Then find the exact area of the region. 2. Find the exact volume V of the solid S whose base is the region enclosed by the parabola y = 7 - 7x² and the x-axis. Cross-sections perpendicular to the x-axis are isosceles triangles with height equal to the base.