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West LA College Calculus Derivatives Integrals & Theorems Questions

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these are the topics. this is timed. please be online at a specific time. 5pm pacific time.

1. Approximate an area under the curve or a definite integral with a Riemann sum.

Illustrate with a graph

2. Evaluate an integral using properies of integrals and/or geometry

3. Evaluate the integral using antiderivative (Fundamental Theorem of Calculus Part II)

4. Use the Fundamental Theorem of Calculus Part I to find the derivative of a function

given as an integral

5. Use the substitution technique to evaluate an integral

6. Find an area between two curves

7. Find a volume by one of the methods: slicing (disks, washers) or shells

8.Find the arc length for a curve

9. Find the surface area for a surface of revolution

10. Apply the method of integration in a problem involving

Work

11. Conceptual question

4-8 big question

time limit: 80 min