Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis. Be sure to do all of the following: Draw a sketch. Draw a representative rectangle, this helps you determine the variable of integration and method. State method used: disk, washer or shell. The integral(s) you are using to find the volume. Clearly work out the integration. Leave answer in EXACT form. Do NOT give decimals.
Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis. Be sure to do all of the following: Draw a sketch. Draw a representative rectangle, this helps you determine the variable of integration and method. State method used: disk, washer or shell. The integral(s) you are using to find the volume. Clearly work out the integration. Leave answer in EXACT form. Do NOT give decimals.
Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis. Be sure to do all of the following: Draw a sketch. Draw a representative rectangle, this helps you determine the variable of integration and method. State method used: disk, washer or shell. The integral(s) you are using to find the volume. Clearly work out the integration. Leave answer in EXACT form. Do NOT give decimals.
Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and x = 0 about the x axis.
Be sure to do all of the following:
Draw a sketch.
Draw a representative rectangle, this helps you determine the variable of integration and method.
State method used: disk, washer or shell.
The integral(s) you are using to find the volume.
Clearly work out the integration.
Leave answer in EXACT form. Do NOT give decimals.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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