| Ch 8. Integration Techniques | Multimedia Engineering Math | ||||||
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Integration by Parts |
Trig. Integrals Trig. Subst. |
Fractions & Substitutions |
Approximate Integration |
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| Approximate Integration | Case Intro | Theory | Case Solution |
| Chapter |
| 1. Limits |
| 2. Derivatives I |
| 3. Derivatives II |
| 4. Mean Value |
| 5. Curve Sketching |
| 6. Integrals |
| 7. Inverse Functions |
| 8. Integration Tech. |
| 9. Integrate App. |
| 10. Parametric Eqs. |
| 11. Polar Coord. |
| 12. Series |
| Appendix |
| Basic Math |
| Units |
| Search |
| eBooks |
| Dynamics |
| Fluids |
| Math |
| Mechanics |
| Statics |
| Thermodynamics |
| Author(s): |
| Hengzhong Wen |
| Chean Chin Ngo |
| Meirong Huang |
| Kurt Gramoll |
©Kurt Gramoll
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| Introduction |
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One early morning, Jack discovered a mysterious large kidney-shaped formation in his wheat field. He was surprised and realized that he needed to estimate his wheat loss in that region. What is known: Jack measured at 1-foot intervals as indicated in the following figure.
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| Questions |
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| Determine the area of the kidney-shaped formation using the Midpoint Rule, Trapezoidal Rule, and Simpson's Rule. | ||||||||||||||||||||||||||||||||
| Approach |
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