Limits
Derivatives
Antiderivatives
Area Between 2 Curves
Misc.
100
5
100
The derivative of x2 is?
2x
100
the integral of 2x3-6x+1 is...
(x4/4)-3x2+x+C
100
What is the are between the two curves ?
1/3 units
100
what is the function of an inverse derivative in terms of dy/dx
200
the limit of x/7 as x approaches 13 is...
13/7
200
The derivative of x3 + 6x -1 is
3x2+6
200
the integral of 3cos(x)+sin(x) dx is...
3sin(x)−cos(x)+C
200
What is the area between the two curves ?
200
what are the derivatives of sin(x), cos(x), and tan(x)
cos(x), -sin(x), sec2(x)
300
2
300
The derivative of (3x3+2)(x4+2x3-7) is ?
(3x3+2)(4x3+6x2)+(x4+2x3-7)(9x2)
300
the integral of ((3/t)-(2/t2) is...
3ln(t)+(2/t)+C
300
What is the area between the two curves ?
300
Rotate the region bounded by 
,
and about the y-axis...
400
 |
1/4
400
The derivative of (4x3-2x2+1)/(x3+5) is
(12x^2−4x)/(x^3+5)−(3x^2(4x^3−2x^2+1)(x^3+5)^2
400
The integral of dy/dx= (x2)/((x-2)2) is...
x−((4)/(x−2))+4ln(|x−2|)+C
400
Find the area below f(x)=−x2+4x+3 and above g(x)=−x3+7x2−10x+5 over the interval 1≤x≤2...
49/12
400
Find the volume of the solid of revolution formed by rotating the region bounded by the x-axis and the graph of from x=0 to x=1, about the x-axis.
500
 |
P(x) = x3 + 2x − 1, and Q(x) = 6x2
500
Given f(1)=6, f´(1)=10, g´(6)=9, g(1)=11 and h(x)=g(f(x)) find h´(1)
90
500
Solve the differential equation,
(dy/dx)=(y(x+1))/(x)
Cex+lnx
500
What is the area between the two curves?
500
Consider the finite region bounded by the graphs of y = sin( x2) and y = –sin(x2)
over the interval 
. Revolving this region about the y-axis sweeps out a solid of revolution with what volume?
