Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/integral-calculus/ic-integration/ic-trig-substitution/v/integrals-trig-substitution-2
Another example of finding an anti-derivative using trigonometric substitution
More free lessons at: http://www.khanacademy.org/video?v=fD7MbnXbTls