Chapter 8.1, Problem 96E

To determine

a)

Use substitution to show that $I(a,b)=I(b,a)$

To determine

b)

Show that $I(a,0)=I(0,a)\frac{1}{a+1}$

To determine

c)

Prove that for $a\ge 1andb\ge 0,$

To determine

d)

Use (b) and(c) to calculate $I\left(1,1\right)andI\left(3,2\right)$

To determine

e)

Show that $I(a,b)=\frac{a!b!}{(a+b+1)!}$