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il63 [147K]
3 years ago
7

Trey is solving his equation, and the last line of his work is "-2 = 2". What does this mean?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:

it means that his equation is not true.

Step-by-step explanation:

-2=2 is obviously incorrect, so we must assume that the equation isn't true.

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

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

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
2 years ago
What is 9 more than y
Volgvan
9 more than y is an expression so it would be 9+y
6 0
3 years ago
Write the point-slope equation of the line with the given properties. Solve the equation for y. M= -0.25, (12,7)
-Dominant- [34]

Answer:

y = -0.25x + 10

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

Here, y1 is 7, m is -0.25, and x1 is 12

When you plug these values in, you get y - 7 = -0.25 (x - 12)

Now we have to solve for y.

y - 7 = -0.25 (x - 12)

Distribute

y - 7 = -0.25x + 3

Add 7 to both sides

y = -0.25x + 10

3 0
3 years ago
(a) A square has a perimeter of 20 m. What is the length of each side?
Goshia [24]

Answer:

A= 5

B= 3

Step-by-step explanation:

A= 5 +5+5+5= 20

B= 3 (length) x 3 (width)

5 0
2 years ago
Please answer all of these
FromTheMoon [43]
What’s the questions
7 0
2 years ago
Read 2 more answers
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