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Applications of Integrals

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Calculus
Area under curve, area between two curves, volume of a solid revolution, average value of a function, distance and velocity and acceleration
By
Maya Guise
Created Date 06.05.20
Last Updated 06.08.20
Viewed 7 Times
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Topics of this game:
What is the formula for the area between two curves?
What is the formula for solids of revolution around the xaxis?
Which of the following does NOT use integrals?
What is the formula for the average value of a function?
What is the area under the curve y=3x²3 from x=1 to x=2?
What is the area under the curve y=eˣ1 from x=0 to x=3
What is the area under the curve y=sin(x)+1 from x=π/2 to x=3π/2?
What is the area under the curve y=1/x+4 from x=5 to x=10?
What is area between the curves y=sqrt(x+3) and y=x²+1?
What is the area between the curves y=2x⁴+3 and y=x²+5?
What is the area between the curves x=y²5 and x=y+5?
What is the volume of a solid created by revolving the region bounded by y=2x²+2 and y=6x about the xaxis?
What is the volume of a solid created by revolving the region bounded by y=sqrt(x) and y=0.5x² about the xaxis?
What is the volume of a solid created by revolving the region bounded by x=(y2)² and x=(y2)²+4 about the yaxis?
What is the average value of the function y=cos(x)+2 from x=π to x=π?
What is the average value of the function y=eˣ+3 from x=0 to x=2?
What is the average value of the function y=4x⁵1 from x=0 to x=1?
What is the velocity of a particle at t=2 if the function for its acceleration is a(t)=3t²+4t+5 and the velocity at t=1 is 9?
What is the displacement of a particle at t=4 if the function for its velocity is y=3x+7 and the displacement at t=2 is 19?
What is the displacement of a particle at t=π/4 if the formula for its velocity is y=sec²(x)+2 if the displacement at t=0 is 3?
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