APPLICATIONS OF INTEGRATION
CALCULUS

Area Under A Curve, Area Between Curves, Volume by Slicing - Washers and Disks, Volume by Cylinder Method, Volume Using Known Cross Sections, Motion Along a Line Revisited

All of our 14 video lessons are numbered below within their corresponding section. Select the section title to be brought to a compilation video lesson of that section. All of these videos are linked to our YouTube Channel. Enjoy!

AREA UNDER A CURVE

1. y=4/x^2; [-2, -1]

2. y=sec^2(x); [-π, -3π/4]

3. y=√x; [4, 5]

4. y=-cos(x); [3π/4, π]

AREA BETWEEN CURVES

1. y=2x^2-8x+10, y=x^2/2-2x-1, x=1, x=3

2. x=2y^2+12y+19, x=-y^2/2-4y-10, y=-3, y=-2

3. y=x^2/2-3x-1/2, y=3

4. y=-x^3/2+2x^2, y=-x^2+4x

5. y=-2x^2-1, y=-x+3, x=0, x=1

6. y=2cbrt(x^2), y=x

7. y=-x^3+6x, y=-x^2

8. y=-2*sec^2(x), y=2cos(x), x=0, x=π/4