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Displacement/ Total Distance
U-Substitution
Definite Integrals
Area, Volume
100
this is when a thing in motion is stopped
What is when the velocity is zero?
100
int(3x^2(x^3)^6,1,3)
What is 2186/7?
100
int(x^3+1, -1, 3)
What is 24?
100
The area between the curves y=2-x^2 and y=-x
What is 4.5?
200
The total distance of a particle w/ v(t)=6t^2-18t+12, [0,2]
What is 6?
200
int(x^2*sqrt(5+2x^3) dx
What is 1/9 (5+2x^3)^3/2 + C?
200
int( x^2 + sqrt(x), 0, 1)
What is 1?
200
Area between the curves x=y+2 and x=y^2
What is 10/3?
300
The final position of v(t)=6t^2-18t+12 [0,2] when s(0)=3
What is 7?
300
int(sin3x)
What is -1/3 cos3x + C?
300
int( sinx, 0, pi )
What is 2?
300
Find the volume of the solid bound by the lines and rotated by the x-axis: y=x^2, y=0
What is 32pi/5?
400
What's the displacement?
What is 3?
400
int(9r^2/sqrt(1-r^3)
What is -6sqrt(1-r^3) + C?
400
int( 2/x^2, -2, 1)
What is 1?
400
Find the volume of the solid bounded by the lines and rotated by the x-axis: y=sqrt(9-x^2), y=0
What is 36pi?