Unformatted text preview: pts. ] Express Z 5 2 sin ( x ) dx as a limit of Riemann sums. (Do not evaluate.) 3. [12 pts. ] Evaluate Z 1 (5 + 4 x 3 ) dx . 4. [8 pts. ] Evaluate each of the following: (a) Z a x dx (b) Z sec 2 ( x ) dx (c) Z 1 x 2 + 1 dx (d) Z 1 x dx 5. [6 pts. ] Find the derivative of the function g ( y ) = Z y 2 t 3 cos ( t ) dt . 6. [12 pts. ] Evaluate Z 2 x 2 p x 3 + 1 dx . 7. [12 pts. ] Evaluate Z sin ( ln ( x )) x dx . 8. [12 pts. ] Evaluate Z te t dt . 9. [12 pts. ] Evaluate Z cos 3 ( x ) dx . 10. [10 pts. ] Evaluate Z 2 p 4x 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, blue book, North Carolina State University Department of Mathematics

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