# calculus, volume , application of integration

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Consider the curve f(x)=x^4 between x = -1 and x = 4.
a)What is the volume obtained by revolving the area under the curve around the x-axis?
b)What is the volume obtained by revolving the area under the curve (i.e. between f(x) and the x-axis) around the line y = -5?

• calculus, volume , application of integration -

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.
y=x^2 ,y=4x-x^2
the x- axis b) the line y=6

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