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olga55 [171]
4 years ago
8

Will mark brainliest and thank you!! Extra points!!

Mathematics
1 answer:
storchak [24]4 years ago
4 0

Answer:

<h2>-1 and 1</h2>

Step-by-step explanation:

\begin{array}{c|c|c}x&\underline{f(x)}&\underline{g(x)}\\-3&9&\frac{17}{9}\\-2&5&\frac{5}{3}\\\boxed{-1}&\boxed{1}&\boxed{1}\\0&-3&-1\\\boxed1&\boxed{-7}&\boxed{-7}\\2&-11&-25\\3&-15&-79\end{array}\\\\f(x)=g(x)\ \text{from the table:}\\\\\text{for}\ x=-1\ \text{and}\ x=1

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inessss [21]
One thing you could try is to set x=\sqrt y. This makes y=x^2, so that \mathrm dy=2x\,\mathrm dx, and y^2=x^4. So the integral is

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A "trickier" way to do it is to write

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so you could decompose the integrand into partial fractions. But that's more work than needed.
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