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How to Integrate sin^7(2x) cos(2x) dx Using Trig Substitution (Step-by-Step)
In this video, we solve the integral ∫ sin⁷(2x)cos(2x) dx using trigonometric substitution (u-sub). This is a classic trig integral where an odd power of sine is paired with cosine, allowing us to save a cosine factor and use substitution efficiently. We go step by step through identifying the pattern, choosing the correct substitution ...
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