Applications of Integrals
Area under curve, area between two curves, volume of a solid revolution, average value of a function, distance and velocity and acceleration
Create multiple-choice games on Wisc-Online and play them on our Chakalaka mobile app!
But that's not all! Explore educational games created by others. Simply search by category or enter agame code number and dive into a world of learning and fun.
Download the Chakalaka mobile app here:
Topics of this game:
- What is the formula for the area between two curves?
- What is the formula for solids of revolution around the x-axis?
- 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=3x²-3 from x=1 to x=2?
- What is the area under the curve y=eˣ-1 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=y²-5 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 x-axis?
- What is the volume of a solid created by revolving the region bounded by y=sqrt(x) and y=0.5x² about the x-axis?
- What is the volume of a solid created by revolving the region bounded by x=(y-2)² and x=-(y-2)²+4 about the y-axis?
- 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=4x⁵-1 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?
User comments are currently unavailable. We apologize for the inconvenience and are working to restore this feature as soon as possible.