How do you evaluate the definite integral #int (2x^2+4x+3)/(x^2+x+1)# from #[0,1]#?
Cameron AlexanderSee the answer below:
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Ezra AdamsTo evaluate the definite integral (\int_{0}^{1} \frac{2x^2+4x+3}{x^2+x+1} , dx), you can use the method of partial fraction decomposition. Once decomposed, integrate each term separately, then substitute the upper limit of integration and subtract the result from the substitution of the lower limit. This process yields the value of the definite integral.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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