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 ....
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 Spring '10
 AmandaSmith
 Calculus, pts, dx, blue book, North Carolina State University Department of Mathematics

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