ANSWER ASAP AND SHOW ALL WORK

Mathematics

1 answer:

Margaret [11]4 years ago

8 0

Answer:

Step-by-step explanation: Because Median is all the numbers put in order least to greatest. Then the middle number.

Store A: 15, 25, 45, 55, 64

Store B: 22, 35, 40, 65, 71

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How do I evaluate this integral?<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%20%7B%20%5Cfrac%7Bx%7D%7Bx%5E4%2B1%7D%20%7D

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

$\displaystyle\int\frac x{x^4+1}\,\mathrm dx=\frac12\int\frac{\mathrm dy}{y^2+1}=\frac12\arctan y+C=\frac12\arctan(x^2)+C$

A "trickier" way to do it is to write

$x^4+1=(x^2+\sqrt2x+1)(x^2-\sqrt2x+1)$

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

4 0

4 years ago

I added a photo. help! lol

serg [7]

Answer:

19) 17+5

20) 7+10

21) 44/11

22)6/2

23)6x2

24) 14+4

25) 3x13