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lisabon 2012 [21]
3 years ago
15

SOLVE. integration of (1-v) /(1+v^2)

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:

y= 1+v^2
 so
 dy= 2v
 and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
 (1/2) (In y)finally you plug in the initial variables:

(1/2)(In [1+v^2])

so the total integral is:

ArcTan (y) + (1/2)(In [1+v^2])
Ganezh [65]3 years ago
6 0

Answer:

tan^-1( v)  - \frac{1}{2} ln(1+{v}^2) +c is the answer.

Step-by-step explanation:

∫\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}

∫\frac{dv}{1+{v}^2}-∫\frac{2v}{1+{v}^2}dv

{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c

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If x = 4y + 21y and y = 14 + 5, what is 3x × 7? No need to show your work.
podryga [215]

y = 19

x = 4(19) + 21(19) = 76 + 399 = 475

3(475) × 7

1425 × 7

9975 <--- answer.

Hope this helped!

Nate

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Answer:

Step-by-step explanation:

circumference= 29.83

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3.  radius

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Two towns that are 31.5km aprt are 3cm apart on a map what is the scale of the map
mel-nik [20]
3 cm on the map represents 31.5 km in reality.

3cm : 31.5 km

1cm :  31.5/3 km

1cm : 10.5km

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A number that when multiplied equals 576 but when added equals 48
Flauer [41]
...... 24 is the answer
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Worth 50 points and I will mark brainliest.
olchik [2.2K]

x= -13 , y=11

Step-by-step explanation:

Using elimination method, make the x variable equal to eliminate the variable

-3x - y = -28

2x+ 3y=7

2(-3x-y =28)

3(2x+3y=7)

-6x - 2y =56

6x +9y=21

Apply addition

7y = 77

y=77/7 = 11

Use the value of y=11 in  

2x+ 3y=7

2x +3(11) =7

2x +33 =7

2x=7-33

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