Disks and Washers
The volume of the solid made by the function y = x2, x=1 and x=4.
What is 1023pi/5?
The antiderivative of 4x5-3x2-x+5.
What is 2/3*x6-x3-1/2*x2+5x+C?
The law used when a limit yields indeterminate.
What is L'Hopital's rule?
The derivative of xn.
What is nxn-1?
The volume of the solid made between the functions y = x2 and y = x4 for x = 0 to x =1 when it is revolved around the x-axis.
What is 14pi/45?
The simplification of F'(x) where F(x) is the integral of f(t) from x to a.
What is f(x)?
The derivative of x3-4/3*x2+15.
What is 3x2-8/3*x?
The limit as x approaches 0 for sin(x)/x
What is 1?
The region bounded by the functions f(x) = √x and g(x) = x/2, x = 0 and x = 4.
What is π(8-16/3)?
The area of the region bounded by y= 4/x3, the x-axis, x=1, and x=4.
What is 15/8?
The derivative of 2cos(x)+6cos-1(x)
What is −2sin(x)−6/√(1−x2)
The limit ax x approaches ln3 for (ex-e)/(ex+e).
What is (3-e)/(3+e)?
The volume of the area bounded by y=√x, y = 3, and the y-axis, revolved around the y-axis.
What is 243pi/5?
The integral of x*(4-x2)1/2 from x=0 to x= 2.
What is 8/3?
The instantaneous rate of change of ln(x+3) at x= 1/2.
The lim as x approaches negative infinity for (x-5x2)/(x3+10x).
What is 0?