# Algebra: Other Algebra Problems – #4057

Question: If $$\int\limits_{5}^{12}{f\left( x \right)dx}=8$$ and $$\int\limits_{0}^{5}{f\left( x \right)dx}=3$$, and f is even, compute the following:

(a) $$\int\limits_{0}^{10}{f\left( x \right)dx}$$

(b) $$\int\limits_{5}^{0}{f\left( x \right)dx}$$

(c) $$\int\limits_{-10}^{10}{f\left( x \right)dx}$$

(d) $$7\int\limits_{5}^{10}{f\left( x \right)dx}$$