Properties of Integrals Question If $$\int_{-5}^{30} f(x) \, dx = 70$$
and $$\int_{15}^{30} f(x) \, dx = -30$$
then what is the result of the following?
$$\int_{-5}^{15} f(x) \, dx$$ 

Please try to clean up your questions, but it would simply be $\int_{-5}^{15}f(x)dx$=$\int_{-5}^{30} f(x)dx $ - $\int_{15}^{30} f(x)dx $ =$(70-(-30))=100$
This is just using simple properties of the definite integral.
