Int Calc11 Week8
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This document provides feedback on Quiz 5 about the definite integral. It includes questions to find the area of shaded regions bounded by graphs, solving definite integrals using techniques like the Fundamental Theorem of Calculus, and true/false questions testing understanding of concepts like how definite integrals relate to area and the relationship between position, velocity, and derivatives.
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Int Calc11 Week8
- 2. The Definite Integral. Opener. Find the area of the shaded regions.
- 3. Find the area of the shaded region.
- 6. Find the area of the shaded region.
- 7. Exercises. Solve the following definite integrals.
- 8. Opener. Find the area of the region bounded by the x-axis and f(x) = sin x, from x = 0 and x = 2π.
- 9. Exercises. Solve the following definite integrals.
- 10. True or False: a) is equal to the area above the x-axis bounded by the graph of f(x) from x = a to x = b minus the area below the x-axis. b) The antiderivative of f(x) is . c) . d) If the position of an object is given by f(t), then the velocity is .
- 11. Exercises. Use the Fundamental Theorem of Calculus to solve the integrals: