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IntegralsReviewRcg - x dx is read “the integral from 0 to...

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Mike Truong WeBWorK @ Dept of Mathematics and Statistics @ SDSU WeBWorK problems. WeBWorK assignment 02IntegralsReviewRcg due 02/01/2008 at 09:00am PST. 1. (1 pt) Let Z 4 . 5 0 f ( x ) dx = 5 , Z 1 . 5 0 f ( x ) dx = 2 , Z 4 . 5 3 f ( x ) dx = 6. Find Z 3 1 . 5 f ( x ) dx = and Z 1 . 5 3 ( 5 f ( x ) - 2 ) dx = Correct Answers: -3 18 2. (1 pt) The value of Z 6 5 1 x 2 dx is Correct Answers: 0.0333333333333334 3. (1 pt) Evaluate the definite integral Z 8 4 ( 4 x + 6 ) dx Correct Answers: 120 4. (1 pt) Evaluate the definite integral Z 9 3 5 x dx Correct Answers: 12.6794919243112 5. (1 pt) Evaluate the integral Z 4 1 8 1 + x 2 dx Correct Answers: 2.57400443517314 6. (1 pt) Evaluate the integral Z 0 . 4 0 dx 1 - x 2 Correct Answers: 0.411516846067488 7. (1 pt) If f ( x ) = Z x - 1 t 5 dt then f ( x ) = f ( 3 ) = Correct Answers: xˆ5 243 8. (1 pt) If f ( x ) = Z x 2 1 t 4 dt then f ( x ) = Correct Answers: 2*xˆ9 9. (1 pt) Find the value of Z π / 4 0 cos ( 2 x ) dx . Note: The notation Z a 0 f ( x ) dx is read ” the integral from 0 to a of f(x) dee x. “ Remember: The angles for sin and cosine are always (well... almost always) in radians! Correct Answers: 0.5 10. (1 pt) Find the value of Z π / 3 0 cos ( 5 x ) dx . Note: The notation
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Unformatted text preview: ( x ) dx is read “the integral from 0 to a of f(x) dee x. ” Remember: The angles for sin and cosine are always (well. .. almost always) in radians! Correct Answers: •-0.173205 11. (1 pt) Sketch the region enclosed by y = 3 x and y = 4 x 2 . Decide whether to integrate with respect to x or y . Then find the area of the region. Correct Answers: • 0.28125 12. (1 pt) Sketch the region enclosed by x + y 2 = 42 and x + y = 0. Decide whether to integrate with respect to x or y . Then find the area of the region. Correct Answers: • 366.166666666667 1 13. (1 pt) Find the area enclosed between f ( x )= . 1 x 2 + 6 and g ( x )= x from x =-5 to x = 5. Correct Answers: • 68.3333333333333 Generated by the WeBWorK system c ± WeBWorK Team, Department of Mathematics, University of Rochester 2...
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