Finding volume using integration

  • #1
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Homework Statement:
The base of the solid is a square, one of whose sides is the interval [0,5] along the the x-axis.
The cross sections perpendicular to the x-axis are rectangles of height f(x)=4x^2. Compute the volume of the solid.
Relevant Equations:
f(x)=4x^2
I know that the formula for volume is equal to the definite integral ∫A(x)dx, where A(x) is the cross sectional. I found the definite integral where b=5 and a=0, for ∫4x2dx. I obtained the answer 500/3, however this was incorrect, and I'm unsure of where I went wrong?

Thank you.
 

Answers and Replies

  • #2
Orodruin
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You have not integrated the area, you have integrated the height.
 

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