find the area of the region by integrating (a) with respect to x and(b) respect to...

find the area of the region by integrating (a) with respect to x and(b) respect to y. (c) Compare the results. which method was simpler? Which method will always be simplier? Why? (d) find see so the area between y=x and y=-x^3 on the interval [0,C] is equal to 6

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milcah answered 2 years ago

a) Find the area of the region bounded by the line y = x and the...

a) Find the area of the region bounded by the line y = x and the curve y = 2 - x^2. Include a sketch. Find the volume of the solid created when rotating the region in part a) about the line x = 1, in two ways.

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A) Find the area of the region enclosed by the parabola and the line B) Write down...

A) Find the area of the region enclosed by the parabola and the line B) Write down an integral to compute the volume of the solid obtained by rotating the region below the curve about the y-axis. You do not need to evaluate the integral. C) Write down an integral to compute the volume of the solid obtained by rotating the region below the curve about the x-axis. You do not need to evaluate the integral.

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