For a real parameter the following values are given: Determine in terms of .

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

Problem

For a real parameter

k

the following values are given:

\displaystyle\int_{0}^{2} f(x)\,dx = k,

\displaystyle\int_{2}^{5} f(x)\,dx = 3k-1,

\displaystyle\int_{0}^{5}[2f(x)-g(x)]\,dx = 5k+4.

Determine

\displaystyle\int_{0}^{5} g(x)\,dx

in terms of

k