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3 years ago

10

Which statement is true about the product square root of 2(3square root of 2 + square root of 18)?

1 answer:

Novosadov [1.4K]3 years ago

4 0

We are asked to determine the product of square root of 2 and 3 square root of 2 + square root of 14. In this case, we can use the calculator directly to find the answer to the given problem. The answer is A.12. we can also multiply 2 to the numbers under the radical and then simplify to get 12, nonetheless

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Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x(l

Pepsi [2]

I'm assuming the integral is

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5}$

We have

$\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5$

Then substituting $y=\ln|x|$ and $dy=\frac{dx}x$ , the integral transforms and reduces to

$\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C$

which we can rewrite as

$128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4$

and so

$\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}$

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Masja [62]

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3 years ago

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Step-by-step explanation:

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2 years ago

A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packe

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Step-by-step explanation:

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2 years ago