This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: n and L n ? (5 points) 3. State the definition of a definite integral. (5 points) 4. Use the Midpoint Rule with n = 3 to approximate dx x 7 1 1 . (10 points) 5. Use the Evaluation Theorem (FTC2) to evaluate dx x x ) 4 2 1 ( 3 1 3 + . (10 points) 6. If oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does 120 ) ( dt t r represent? (5 points) 7. State The Fundamental Theorem of Calculus. (5 points) 8. The velocity function (in ft/sec) for a particle moving along a line is given by v(t) = t 2 4t + 3. During the interval 1 t 5, find (a) the displacement of the particle (5 points) (b) the total distance traveled by the particle (10 points) 9. (a) Find the average value of f(x) = x over [0, 4]. (5 points) (b) Find the c guaranteed by The Mean Value Theorem for Integrals. (5 points) 10. (a) Evaluate the indefinite integral dx + 2 2 ) 1 (x x . (5 points) (b) Evaluate the definite integral dx x x ) cos( 2 . (5 points)...
View
Full
Document
This note was uploaded on 03/07/2010 for the course ALL all taught by Professor All during the Spring '10 term at Aarhus Universitet.
 Spring '10
 all

Click to edit the document details