Integral of ln times cube root x dx

1 answer:

3 0

If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx.
You could get there faster by noting that
ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x

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Dmitriy789 [7]

1 liter of petrol in London costs £1.029

Since 1 gallon consist of 3.7854 liters, the cost of 3.7854 liters is calculated as:

Cost of 1 gallon of petrol in London = 3.7854*1.029 =£3.8951766

Next, we convert the pounds (£) to dollar($)

Since the exchange rate is 1$ =£ 0.497

£3.8951766 in $ = £3.8951766/£ 0.497 = 7.837$

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Evaluate the expression 2/5 divided by 1/5 plus 4/5 divided by 1/3

Anna007 [38]

Answer:

The answer I got is 4 2/5.

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Elenna [48]

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family

lianna [129]

There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

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3 years ago

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tatuchka [14]

Its 149/25 or 149/5^2

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3 years ago

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