To simply this, you just divide the numerator and denominator by its GCF (Greatest common factor)
Factors of 18 : 1,2,3,6,9,18
Factors of 30 : 1,2,3,5,6,10,15,30
As you can see, the great common factors of 18 and 30 is 6.
So divide 18 by 6 and 30 by 6, and you get 3 and 5
Therefore, the simplest form is 3/5
Answer:
Step-by-step explanation:
The first integral has a well-known beta function representation, so the second one should too. The beta function itself is defined as
and satisfies the identity
Later on, we'll also use the so-called reflection formula for the gamma function; for non-integer z,
as well as the identity
Replace in both integrals, so that
Now replace :
So, the original integral (which I condense here to a double integral) is
No not evenly, but it will be 49.3 repeating .