Here's how you can download the YouTube Capture app free for your iPad, iPhone, iPad mini or iPod Touch.
1. Go to the YouTube Capture app preview page in iTunes (or tap the link on your iOS device to install the app directly).
2. Click the View in iTunes button.
3. Click the Free button to download the app.
4. Sync your iPad, iPhone, iPod Touch or iPad mini with iTunes to install the app.
Here's a description and screenshot:
"Film and share videos with YouTube Capture:
Easy, fast recording
Touch up videos with color correction, stabilization, trimming, and music tracks
Upload to YouTube, Google+, Facebook, and Twitter simultaneously"