I don't know how to install Shutter, BUT you can install other screenshot taking applications, like this one which called Cleopix.

To install Cleopix (it is paid)

You can simply click this button

Also take look at this link

• Look It


• Screen Cloud

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And ther is other way without using PrtScreen button. Type in terminal
gnome-screenshot. You can also make launcher for that, and take screenshot via launching it. For that just copy this and paste into file called screenshot.desktop

[Desktop Entry]

Name=Screenshot

Comment=Save images of your screen or individual windows

Exec=gnome-screenshot --interactive

Terminal=false

Type=Application

Icon=applets-screenshooter

StartupNotify=true

Categories=GTK;GNOME;Utility;

NotShowIn=KDE;

X-GNOME-Bugzilla-Bugzilla=GNOME

X-GNOME-Bugzilla-Product=gnome-utils

X-GNOME-Bugzilla-Component=screenshot

Actions=Screen;Window;Area

X-Ubuntu-Gettext-Domain=gnome-screenshot



[Desktop Action Screen]

Name=Take a Screenshot of the Whole Screen

Exec=gnome-screenshot

OnlyShowIn=Unity;



[Desktop Action Window]

Name=Take a Screenshot of the Current Window

Exec=gnome-screenshot -w

OnlyShowIn=Unity;



[Desktop Action Area]

Name=Take a Screenshot of a Selected Area

Exec=gnome-screenshot -a

OnlyShowIn=Unity;

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And after that make that file executable, using chmod +x screenshot.desktop.
And it is ready for use! Just add it to your unity launcher and that's all: