# Math Help - Integrals?

1. ## Integrals?

If you know f(x) is continuous, even and: f(t)dt=2 on the integral 0 to 2, f(t)dt=-1 on the integral 1 to 2, and f(t)dt=7 on the integral 2 to 4:

What is f(t)dt on the integral -1 to 2

What is f(t-1)dt on the integral 1 to 2

and what is the average value of f(x) on the interval [-4,4]

Thank you so much!

2. ## Re: Integrals?

Hey irock3337.

Hint: Remember that Integral [a,b] + Integral [b,c] = Integral[a,c] where a < b < c. Try using this and re-arranging to get the answers to these questions.

3. ## Re: Integrals?

Since it's an even function, you also have $\int_a^bf(t)\,dt = \int_{-b}^{-a}f(t)\,dt$ where a,b > 0. You'll need that.

If you're having trouble getting started, try to find $\int_0^1f(t)\,dt$ using the equation chiro gave you.

- Hollywood