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3 years ago

For the image below, state the line of reflection:

Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

There is no image????

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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

3 years ago

Can y’all help me *********

melisa1 [442]

Answer:

33. The sheep pen is 16 square yards

Step-by-step explanation:

You can divide the rhombus inside into two triangles. Each triangle has a base of 4 yards and height 4 yards.

Area of triangle: A = 0.5*b*h = 0.5(4)(4) = 8

Since there are 2, then 2*8 = 16 square yards.

7 0

3 years ago

What is 1 1/3 as a improper fraction

Mumz [18]

Okay so for this all you have to do is add 1 to 1/3.

However, to do this you first need to convert 1 into a fraction.

1 = 3/3
3/3 + 1/3 = 4/3

Hope this helps :)

8 0

3 years ago

Solve for x: x + 2 = 17

lesya692 [45]

Answer:

x = 15

Step-by-step explanation:

x + 2 = 17

We can subtract 2 from both sides:

x + 2 - 2 = 17 - 2

x = 15

Answer: x = 15

3 0

3 years ago

Read 2 more answers

6^(2))^(4)

Alexxx [7]

Answer:

36^4=1679616

Step-by-step explanation:

6 squared the to the power of 4

6 0

2 years ago