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What is #int (-3x^3+4 ) / (-2x^2+x +7 )#?

Answer 1

Emily Ammerman

See answer below:

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Answer 2

Isaiah Allen

To find the integral of (\frac{-3x^3 + 4}{-2x^2 + x + 7}) with respect to (x), we can use the method of partial fraction decomposition followed by integration. We first factorize the denominator polynomial ( -2x^2 + x + 7 ) into irreducible factors. Once we have the factors, we set up the partial fraction decomposition, find the constants, and then integrate each term separately.

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Answer from HIX Tutor

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.