start with substituting z=e^x
then substitute u = z^(1/6):
that integral has a standard form that can be looked up in integral tables, it has the following solution:
substituting back the the variable z and then x you get the final solution:
Evaluate y=-x^2-4 for x=-4
2 answers:
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Answer:
5.333 \pi
Step-by-step explanation:
Given is a function exponential as
The region bounded by the above curve, y =0 , x=4 is rotated about x axis.
The intersection of curve with x axis is at x=0
The limits for x are 0 and 4
The volume when rotated through x axis is found by
Here a = 0 and b =4
volume =
=