# Help

#### MarkFL

##### La Villa Strangiato
Staff member
Moderator
Math Helper
Hello, and welcome to TMH!

Let's begin by writing what we're given:

$$\displaystyle \int_{-3}^5 f(x)\,dx=12$$

Now, we may break up the LHS as follows:

$$\displaystyle \int_{-3}^3 f(x)\,dx+\int_{3}^5 f(x)\,dx=12$$

Since we are given that $$f(x)$$ is an odd function, we know:

$$\displaystyle \int_{-3}^3 f(x)\,dx=0$$

And so we are left with:

$$\displaystyle \int_{3}^5 f(x)\,dx=12$$

Does that make sense?