For functions and

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

Problem

For functions ff and gg, the following values are known: ∫02f(x) dx=5,∫25f(x) dx=−2,∫02g(x) dx=−4,∫25g(x) dx=1.\displaystyle\int_{0}^{2} f(x)\,dx = 5,\quad \int_{2}^{5} f(x)\,dx = -2,\quad \int_{0}^{2} g(x)\,dx = -4,\quad \int_{2}^{5} g(x)\,dx = 1. Evaluate ∫05(−2f(x)+3g(x)) dx\displaystyle\int_{0}^{5}\bigl(-2f(x)+3g(x)\bigr)\,dx.

Related theory

Browse the problem library