Название: Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)
Автор: Patrick Jones
Издательство: John Wiley & Sons Limited
Жанр: Математика
isbn: 9781119883678
isbn:
Estimating the area under a curve typically involves quite a bit of arithmetic but shouldn’t be too difficult conceptually. The process should be straightforward after you do a few problems.
The problems on expressing a given Riemann sum as a definite integral don’t always have unique solutions.
To evaluate the problems involving Riemann sums, you need to know a few summation formulas. You can find them in any standard calculus text if you don’t remember them — or you can derive them!
Calculating Riemann Sums Using Left Endpoints
519–522 Find the Riemann sum for the given function with the specified number of intervals using left endpoints.
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Calculating Riemann Sums Using Right Endpoints
523–526 Find the Riemann sum for the given function with the specified number of intervals using right endpoints.
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Calculating Riemann Sums Using Midpoints
527–530 Find the Riemann sum for the given function with the specified number of intervals using midpoints.
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Using Limits and Riemann Sums to Find Expressions for Definite Integrals
531–535 Find an expression for the definite integral using the definition. Do not evaluate.
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Finding a Definite Integral from the Limit and Riemann Sum Form
536–540 Express the limit as a definite integral. Note that the solution is not necessarily unique.
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540. СКАЧАТЬ