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3 years ago

Which operations is the following set closed under: {2, 4, 6, ...}? The answer has to be written out and there are no choices

Mathematics

2 answers:

OLga [1]3 years ago

7 0

Its closed under addition and multiplication

Dvinal [7]3 years ago

6 0

The set is taking the previous term and adding two to it to get the next term.
So: 2 + 2 = 4, 4 + 2 = 6, and so on.
The next three terms are 8, 10, and 12.

Hope this helps!

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Step-by-step explanation:

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2 years ago

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Simplify the integrand:

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Now integrate one term at a time.

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Putting everything together,

$\displaystyle \int \frac{4x^4 + 3x^2 + 5x}{x^2} \, dx = \int \left(4x^2 + 3 + \frac5x\right) \, dx = \boxed{\frac43 x^3 + 3x + 5 \ln|x| + C}$

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Hope this helped

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