Integral of Sqrt(9 - x^2) by Trigonometric Substitution | Integration | Calculus | Glass of Numbers
In this video, we integrate a function involving a square root by using trigonometric substitution. (We often call this "trig sub" or "trig sub integral".)
Depending on the form of the expression inside the square root, we will make the following substitution using a trigonometric function:
For A^2 - X^2, we use X = A sinθ.
For A^2 + X^2, we use X = A tanθ.
For X^2 - A^2, we use X = A secθ.
After performing the trig sub, we need to integrate cosine squared of theta: cos^2(θ). See how to do that integral here:
• Trigonometric Integrals - Even Power ...
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