You can check that. If you have a QtCore4.dll in $QTDIR/bin it seems to be a dynamic linked version. The supported imageformats depend on which one you have built. The normal Qt distribution supports JPEG, PNG, SVG and GIF (reading, which is disabled by default).
Yes, rebuilding takes a little bit of your time. But you don't do that every day so take the time and configure your environment like you need it. Compiling whole Qt takes about 40 minutes to one hour on my computer.
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