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mafiozo [28]
3 years ago
11

Can someone help me Please ASAP!!!

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer:

????????????((((((((((?((

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The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

where C=2+C_1

Without using substitution:

∫6x^5(x^6-2)\,dx = ∫6x^{11}-12x^5\,dx = \frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C

So, same answer is obtained in both the cases.

7 0
3 years ago
A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of car
iogann1982 [59]
It's either 20 or 25 thousand.
8 0
4 years ago
Please help ASAP 30 pts + brainliest to right/best answer
azamat

Answer:


Step-by-step explanation:There's nothing there to solve. But you can simplify the expression.-- The difference of two logs is the log of the quotient. log₆(25) - log₆(5) = log₆(25/5) = log₆(5) .That may be all you can do with it.If they want you to go ahead and actually find the value of log₆(5) ...I don't remember how to do that. If it was log₁₀(5) or ln(5) ,those would be easy, because they're right on your calculator.But the log to the base of (anything else other than 10 or 'e') takesan additional step, which I don't remember. brainliest pls?



3 0
3 years ago
a touchdown in football counts for 6 points if n stands for the number of touchdowns, which equation represents how many points
irga5000 [103]

Answer:

6n

Step-by-step explanation:

7 0
3 years ago
The exact circumference of a circle is 18π inches. What is the approximate area of the circle? Use 3.14 for π. Round to the near
Aleks [24]

Answer:

254.34

Step-by-step explanation:

Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.

6 0
2 years ago
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