How to Split Absolute Value in an Integral

[sara_87]

Homework Statement

How do split

$$\int^1_{-1}\left| \frac{1}{2}+xt\right|dt$$

Homework Equations

The Attempt at a Solution

$$\int_{-1}^0 -\frac{1}{2}-xt dt+\int_0^1 \frac{1}{2}+xt dt$$

Im not sure if this is right, and if it is... i still don't understand how to split the absolute value part inside an integral.

thank you

 

[Cyosis]

Do you know how to split up $|t|$? I suggest drawing a graph of $1/2+xt$ and look closely how it differs from $|t|$.