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Doss [256]
3 years ago
6

How do I get this form?

Mathematics
1 answer:
serg [7]3 years ago
6 0

Short answer: you don't.

The linear term in the numerator of the integral means the form shown is not applicable. Rather, you perform the integration using partial fraction expansion.

\displaystyle\int{\frac{5x+1}{25x^2+60x-13}}\,dx=\int{\frac{5x+1}{(5x-1)(5x+13)}}\,dx\\\\=\frac{1}{35}\int{\frac{5}{5x-1}}\,dx+\frac{6}{35}\int{\frac{5}{5x+13}}\,dx

The integral is ...

... (1/35)ln|5x-1| +(6/35)ln|5x+13| +C

_____

If the numerator of your integral were a constant, then the fractions multiplying the separate partial fraction integrals would have the same magnitude and opposite signs. You would end with the difference of logarithms, which could be expressed as the log of a ratio as shown in your problem statement.

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.Rahul and his wife work in Mohan's farm. The Government has declared that the farm workers should be paid Rs. 71 for a day's wo
Snowcat [4.5K]

Answer:

Rs. 5500

Step-by-step explanation:

The government has declared that farm workers should be paid Rs. 71 for a day's work

The landlord Mohan pays Rahul Rs. 60 and pays Rs. 55 to his wife

Rahul works for 55 days

= 60 × 55

= Rs. 3,300

His wife works for 40 days

= 55 ×40

= Rs. 2,200

Therefore the total amount of money earned together can be calculated as follows

= 3300 + 2200

= Rs. 5500

Hence they will earn Rs. 5500 together

7 0
3 years ago
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used
ycow [4]

The set must have a constant additive rate of change.

Answer: Option A.

<u>Explanation:</u>

A function has an additive rate of change if there is a consistent distinction between any two successive information and yield esteems. From the primary table we can watch a consistent distinction of - 6 among the y-values and a steady contrast of 2 among the x-values.

A linear function has a consistent additive rate of change, while a nonlinear capacity doesn't. For a table of qualities to be direct, the needy variable must have a steady pace of progress as the autonomous variable increments by 1.

8 0
2 years ago
Read 2 more answers
The answer for number 6,7,8,9
zhuklara [117]
9
230-18.84=211.16
211.16-116.22=94.94
94.94-42.13=52.81
52.81-93.17=-40.36
-40.36-50=-90.36
-90.36-13.12-50=-153.48
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6 0
3 years ago
Four loads of stone weigh 2/3 ton. find the weight of 1 load of stone
uranmaximum [27]
4 loads of stone ... 2/3 ton
1 load of stone ... x ton = ?

If you would like to know the weight of 1 load of stone, you can calculate this using the following steps:

4 * x = 2/3 * 1
4 * x = 2/3       /4
x = 2/3 / 4
x = 2/12 = 1/6 ton

The correct result would be 1/6 ton.
3 0
3 years ago
The number of mosquitoes in Brooklyn (in
stealth61 [152]

Answer:

Maximum is 4

Step-by-step explanation:

M(x) is quadratic function, so we need to fin maximum.

m(x)=-x(x-4)

m(x)=-x^2+4x

To find a maximum we need to find m’

M’(x)=-2x+4

M’(x)=0 if x=2

The maximum is in the point x=2

M(2)=-2(2-4)=4

5 0
2 years ago
Read 2 more answers
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