Unformatted text preview: 2. [6 pts. ] Express Z 6 3 cos ( x ) dx as a limit of Riemann sums. 3. [12 pts. ] Evaluate Z 1 (17 + 3 x 2 ) dx . 4. [8 pts. ] Evaluate each of the following: (a) Z a x dx (b) Z sec ( x ) tan ( x ) dx (c) Z 1 x 2 + 1 dx (d) Z 1 x dx 5. [6 pts. ] Find the derivative of the function g ( r ) = Z r 3 p x 55 dx . 6. [12 pts. ] Evaluate Z 1 x 3 p x 4 + 3 dx . 7. [12 pts. ] Evaluate Z cos ( ln ( x )) x dx . 8. [12 pts. ] Evaluate Z xe x dx . 9. [12 pts. ] Evaluate Z sin 3 ( x ) dx . 10. [10 pts. ] Evaluate Z 4 p 16x 2 dx by the trigonometric substitution. Bonus : [2 pts. ] Explain the diﬀerence between Z t 2 t 1 v ( t ) dt and Z t 2 t 1  v ( t )  dt ....
View
Full
Document
This note was uploaded on 05/17/2010 for the course MATH 141 taught by Professor Amandasmith during the Spring '10 term at University of North Carolina School of the Arts.
 Spring '10
 AmandaSmith
 Calculus

Click to edit the document details