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Nadusha1986 [10]
3 years ago
13

What is the integral of (2x^2+4)/(x^3+4x)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0
Integral (2x^2+4)/(x^3+4x) dx =
integral (3x^2+4)/(x^3+4x) dx - integral (x^2)/(x^3+4x) dx =
integral d(x^3+4x)/(x^3+4x) -1/2*integral d(x^2+4)/(x^2+4)  =

ln|x^3+4x| -1/2*ln|x^2+4| + C =

ln|x*sqrt(x^2+4)| + C


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Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

=   5.1282 x $17.65

=  90.51

5 0
3 years ago
If measure of angle X = 34° and measure of angle Z = 26°, what is the measure of angle Y
AlladinOne [14]

Answer:

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Step-by-step explanation:

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146-26=120

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3 years ago
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Answer:

-1.66666666667 yards

Step-by-step explanation:

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subtract 6x on both sides

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subtract 12 on both sides

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3 years ago
Which expression is equivalent to 5y - 3x + 2?
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Answer:

D)

Step-by-step explanation:

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2 years ago
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2 years ago
Read 2 more answers
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