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Limits
Derivatives
Integrals
FTC
Area/Volume
100
solve the limit as x approaches 5 of sin(pi*x)
What is 0
100
y=(x^2)(tan(x)). y'=
What is (2x)(tan(x))+(x^2)(sec^2(x))
100
solve the integral from -3 to 2 of (2w+2)dw
What is 5
100
derivative of the integral from a to x of f(t)dt = f(x)
What is the first part of the fundamental theorem of calculus
100
t=h/2(y0+2y1+2y2...)
What is the trapezoidal rule
200
solve the limit as x approaches 4 of (x-4)/(sqrtx +2)
What is 4
200
y=(x^2)(csc(x)). y'=
What is (x^2)(-csc(x)cot(x))+(csc(x))(2x)
200
solve the integral from -pi/4 to 0 of (sec^2 x) dx
What is 1
200
the integral from a to b of f(x)dx = antiderivative of b - antiderivative of a
What is the second part of the fundamental theorem of calculus
200
the integral from a to b of pi(R^2-r^2)dx
What is the washer method
300
f(c) exists; limit as x approaches c of f(x) exists; limit as x approaches c of f(x)=f(c) What do these terms define?
What is a continuous function
300
y=(3x)(ln(x)). y'=
What is 3+3ln(x)
300
solve the indefinite integral of (8x+2) dx
What is 4x^2+2x+c
300
evaluate the integral from 2 to 4 of f(x)= x^2
What is 56/3
300
the integral from a to b of pi (r^2)dx
What is the disc method
400
limit as x approaches 0 of sin2x/x
What is 2
400
y=sinx^2 Evaluate y'=
What is 2xcos(x^2)
400
solve the indefinite integral (-4/x)dx
What is -4ln|x| +c
400
Find the derivative of the integral from 2 to x for f(t)= t^3
What is x^3
400
Let f(x)= e^2x. Let R be the region in the first quadrant bounded be the graph of y=f(x) and the vertical line x=1. Find the area of R.
What is e^2/2-1/2
500
solve the limit as x approaches 2 of (x^2-3x+1)/(x+2)
What is -1/4
500
y=x^3-x^2+x+200. Find y'
What is 3x^2-2x+1
500
solve the indefinite integral using substitution! the integral ((x^2-2)^3 * 2x)dx; u= x^2-2
What is (x^2-2)^4/4 +c
500
evaluate the integral from 0 to 2 f(x) = 2x
What is 4
500
The region on the graph is bound by the lines x=sqrt(y) -1, x=-1, y=4. The graph is rotated around the line x=-1. Find the volume
What is 8pi