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Derivatives
Integrals
Volume
Limits
100
what is the derivative of 3-7x^3+3x^7?
-21x^2+21x^6
100
What is the definite integral, from 0 to π, of sinx dx?
2
100
Find the volume of the solid generated by revolving the region bounded by y=x^2, the line y=4 in the first quadrant about the x-axis.
128/5 π
100
Find lim x->3, (x^2+5x-24)/(x^2-9)
11/6
200
What is the derivative of x√(4-x^2)? simplify
(4-2x^2)/√(4-x^2)
200
What is the Integral of tanx dx?
-ln |cos x| + C
200
Region A is the area bounded by y=x^3 and the line y=8. The bases of the cross-sections that are perpendicular to the x-axis are squares.
82.286
200
Find the limit if it exists limit x-> ∞, (3x^5-8x^6)/(10x^7-1)
0
300
f(x)=(2x+3x^3)/4x^5 Find f'(x)
(-15x^2-32)/(16x^5)
300
⌠(x + 1) / (x^2 + 2x + 3) dx ?
1/2 ln|x^2+2x+3| + C
300
Let R be the region bounded by the graph of y=4-x^2 and y=0 in the first quadrant. Find the volume of the solid with base on region R and cross sections perpendicular to the x-axis are squares.
17.067
300
Find the limit if it exists limit x-> ∞, (3x^5+7x^3-5x^2+1)/(2x^5+2x^2-8)
3/2
400
What is the derivative of arcsec(3x^2)?
2/(x*root(9x^2-1))
400
⌠x^2e^x dx ?
x^2e^x-2xe^x+2e^x + C
400
Let A be the region enclosed by the graphs of y=e^x and y=x^3, and the y-axis. Find volume of solid with base of region A, and cross sections perpendicular to the x-axis. The cross sections are rectangles with height equal to 6 times the length of the base.
21.069
400
Find the limit if it exists limit x->2, (1/x-1/2)(x-2 )
-1/4
500
What is the second derivative of x^3+y^3=1 simplify
(-2x^4-2xy^3)/y^5
500
DAILY DOUBLE!!!!!!!!!!!! ⌠(3x+11)/x^2-x-6 dx ?
4ln|x-3|-ln|x+2| + C
500
Let A be the region enclosed by the graphs of y=e^x and y=x^3, and the y-axis. Find the volume of the solid with base on region A and cross sections perpendicular to the x-axis. The cross sections are triangles with height equal to three times the length of the base.
5.267
500
Find the limit if it exists limit x->infinity, e^x/(4+5e^3x)
0