Constants and obey the two conditions _ 0 ^ 1 (a x + b) ,dx = 3 and _ 0 ^ 1 (b x + a)…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Constants

a

and

b

obey the two conditions

\int_{0}^{1} (a x + b)\,dx = 3 \quad\text{and}\quad \int_{0}^{1} (b x + a)\,dx = 2.

Determine the ordered pair

(a, b)