Question

How would I go about doing this?
\[\int\limits_{0}^{3}|2x-3| dx\]

Answer 1

Just look at it, think for a second or two, then write down the answer :-)

Answer 2

says the smart person...
I've only just started learning integrals >,<

Answer 3

Can you graph |2x-3| from 0 to 3? I think it will be very enlightening...

Answer 4

let's make a table:

\[\begin{array}{cc}
x & y \\
\hline \\
0 & 3 \\
1 & 1 \\
2 & 1 \\
3 & 3 \\
\end{array}\]

Answer 5

oh wait oh...

Answer 6

Suddenly it's looking a lot like 1/2 the area under y = 3 from x = 0 to 3, isn't it? :-)

Answer 7

mk thanks! I think I get it now...