All categories

3 years ago

Integral of 1/(x^2sqrt(4x+1))?

Mathematics

1 answer:

cestrela7 [59]3 years ago

3 0

<span>Integral of 1/(x^2sqrt(4x+1)) = 4tanh^-1(sqrt(4x + 1)) - sqrt(4x + 1) / x + c</span>

You might be interested in

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

4 0

3 years ago

Read 2 more answers

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from

makvit [3.9K]

Answer:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

6 0

3 years ago

1.4t-0.4(t-3.1)=5.8 please help !!

Svetllana [295]

Okay so i cant just post what the answer is i have to type something.
but anyways this is the answer: t= 4.56

4 0

3 years ago

What are 2 binomials that are factors of this trinomial? x^2-x-20

S_A_V [24]

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2-x-20

What two terms multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

8 0

3 years ago

Read 2 more answers

A water tank that holds 30 gallons of water when full is leaking 3/4 gallon of water every hour. If no one notices and stops the

viva [34]

It will take 40 hours for the water tank to become empty.

Explanation:
Divide 30 by 0.75 (equivalent to 3/4).

7 0

3 years ago