MU DIVISION

Question 51

Applications of Integration★★★Question Bank

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Question

Consider the region in the first quadrant bounded by the

x

- and

y

-axes and

y=e^{-x^2}

. Find the volume when this region is revolved around the

x

-axis. You may need the fact that

\int_{-\infty}^{\infty}e^{-x^2}\,dx=\sqrt\pi.

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