Real Analysis. Please provide detailed solution. Suppose that

\\\\alpha ,\\\\beta

are increasing functions with

\\\\beta inR(\\\\alpha )

. Show that

\\\\alpha inR(\\\\beta )

and\

\\\\int_a^b \\\\alpha d\\\\beta +\\\\int_a^b \\\\beta d\\\\alpha =\\\\alpha (b)\\\\beta (b)-\\\\alpha (a)\\\\beta (a).

Suppose that , are increasing functions with R(). Show that R() and abd+abd=(b)(b)(a)(a)