3 years ago

What the solution to -8+x=3

Mathematics

1 answer:

vladimir1956 [14]3 years ago

8 0

Answer:

x=11

Step-by-step explanation:

We would add 8 to both sides of the equation, leaving us with x=11

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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.

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$\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}$

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Step-by-step explanation:

For this case we want to find the following integral:

$\int_{-\infty}^{-5} x^{-2}dx$

And we can solve the integral on this way:

$\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}$

$\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}$

And if we evaluate the integral using the fundamental theorem of calculus we got:

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Because the $\lim_{x\to -\infty} \frac{1}{x} =0$

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Katena32 [7]

3/4 is greater than 1/2

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and 3/8 is less the 4/8 (4/8=1/2)

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3 years ago