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The trick is to do the integral with respect to y instead of with respect to x, since the curve lies completely to one side of the y-axis but does not lie completely to one side of the x-axis.

Therefore, we must express the equations of the curve and the line as x in terms of y before we can do the integral.

The shaded area is to the left of the y-axis, so the final answer is expected to be negative. Not to worry, we just take the final value without the negative sign for the final answer.

Therefore, we must express the equations of the curve and the line as x in terms of y before we can do the integral.

The shaded area is to the left of the y-axis, so the final answer is expected to be negative. Not to worry, we just take the final value without the negative sign for the final answer.

Date Posted:
8 months ago