Hi (Happy new year everyone!)

It is I = [-10,5] and Z = {-10, -8,-7,...,3, 4 ,5}

f integrable (furthermore f differentiable and continuous) at I = [-10,5]

It is f(-10)=f(-9)=...=f(3) = f(4) = f(5) = 0

Solve $\displaystyle \int^5_{-10} f(x) dx$

My question is: Is there any possibility to split the integral?

Because, what I know is (for example) $\displaystyle f = x^3 \ ; \ x \in I \ Z$

I this case I just have to solve

$\displaystyle \int_{-10}^9 x^3 dx +...+\int^5_4 x^3 dx $ ?

I find it kinda confusing because of f(a) = 0, if a element of Z

Rapha