Trigonometric Integrals: Example 3: sin(x)^2
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In this video I go over another example on trig integrals and this time solve for the definite integral of sin(x)2 from x = 0 to x = pi. In this example I use the half angle trig identity which I covered in my last video to simplify the integral before solving it.
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Trigonometric Integrals: Example 3
Example:
Solution:
In my earlier examples, an odd power of sine or cosine enabled us to separate a single factor and convert the remaining even power. For example from my last video:
If the integrand contains even powers of both sine and cosine, this strategy fails. But in this case we can take advantage of the following half-angle identities which I covered in my last video:
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