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Norma-Jean [14]
3 years ago
12

Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

2\pi(e^2-e^{-4})

Step-by-step explanation:

We are given: f(x)=2e^x

So, the integral will be used to calculate the volume.

V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})

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