Question: 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

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).
Real Analysis. Please provide detailed solution. Suppose that \\\\alpha ,\\\\beta are

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

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