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|.