3.1 Evaluate i+1 n2 where n = 10, 100 and 1000 3.2 Hence determine lim n2 Li=1 3.3 Use the limit definition (Riemann Sums) to determine the following integral. 1 2x dx -2

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Q: This question asks you to find an integral using Riemann sums. Recall from lectures, that a definite…

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Q: 10. Evaluate the definite integral below by using the definition of the definite integral (i.e. with…

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Q: question a

A: Hi! Please see attached file. Thank you!Explanation:

Q: dx For the integral , which of the following options is correct? lim- 3(x – 1)4 |", + lim,r- 3(x –…

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Q: 12.)Express lim E(3(x;,)² – 5x, + 2)Ax as a definite integral on the interval [0,1]. i=1

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Q: 2. Write the following limits as definite integrals. 5 6k 2+ n n 2 √ (2 + (-))* 2 k=1 2+ a) lim n→∞…

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Q: 4. A functionf is defined on [0, 1] as follows : 1 f(x)=, when <x< (r=1, 2, 3, ...) a? f(0)=0, where…

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.