Find the number of ways to partition the numbers 1, 2, . . . , 12 into four sets of three numbers, so that the sum of the number
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Answer:
The result of the integral is:
Step-by-step explanation:
We are given the following integral:
Trigonometric substitution:
We have the term in the following format: , in which a = 3.
In this case, the substitution is given by:
So
In this question:
So
We have the following trigonometric identity:
So
Replacing into the integral:
Coming back to x:
We have that:
So
Applying the arcsine(inverse sine) function to both sides, we get that:
The result of the integral is: