# Math Help - Area Under Curve

1. ## Area Under Curve

Find $\int_{1}^{5} f(x)dx$ if $\int_{0}^{1} f(x)dx = -2.6$ and $\int_{0}^{5} f(x)dx = 1.5$

I know for this question we do:
$\int_{0}^{5} f(x)dx = \int_{0}^{1} f(x)dx + \int_{1}^{5} f(x)dx$

Which rearranged turns into:

$\int_{1}^{5} f(x)dx = \int_{0}^{5} f(x)dx - \int_{0}^{1} f(x)dx$

But I do not know what I am to do...
Thanks : )

2. You set everything up great. Now just plug in the numbers for the integrals and you can get your final answer.

3. You got it right. Just take the values they gave you and calculate.

4. (1.5) - (-2.6) ?

so
1.5 + 2.6 = 4.1
is this correct?

5. Perfect