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blagie [28]
3 years ago
14

Triangle fgh is similar to triangle abc solve for x

Mathematics
1 answer:
Alex3 years ago
4 0

Need more information

Post a pic

Would you mind giving me brainliest?

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Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
3 years ago
Read 2 more answers
SEE IMAGE PLEASE !!!
inysia [295]
Center of rhombus bisects 90°.

Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°


4 0
2 years ago
Read 2 more answers
The baseball coach bought 8 new baseballs for $3 each. The basketball coach bought 6 new basketballs for $11 each. How much more
tia_tia [17]

Answer:

$42 more.

Step-by-step explanation:

Baseball: 8(3) = $24

Basketball: 6(11) = $66

66 - 24 = $42

8 0
3 years ago
162 water bottles and 96 equals what
lesya [120]
The answer is that:  162
+ 96
=258
8 0
3 years ago
The diagram shows a square.
frosja888 [35]

Answer:

3.5 cm

Step-by-step explanation:

6x -1 = 4x + 6

2x = 7

x = 3.5

6 0
3 years ago
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