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🔥 Day 133 — 2025 MIT Integration Bee (Qualifying) Q17 Evaluate: ∫ sin(x) * sinh(x) dx Wild mix of circular and hyperbolic functions. The fastest path is a classic double “integration by parts” loop: set up I = ∫ sin(x) sinh(x) dx, integrate by parts twice, and watch I appear on both sides so you can solve for it. 👉 Hints • First parts: u = sin x, dv = sinh x dx. • Second parts (on the new integral): u = cos x, dv = cosh x dx. • You’ll end with 2I = (sin x) cosh x − (cos x) sinh x. Would you ca
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Process of elimination is your friend! Don’t get caught up computing these integrals; that’s not what the question is asking! A multiple choice question is never asking you to solve the problem completely; it is asking you to PICK the right answer. In this case, it’s D. Like and follow for more math content! Is there another math topic you’d like to see? Comment below! You can find me on YouTube at EightyFourPlus and on Instagram at eightyfour.plus #math #calculus #apcalculus #calculus1 #apcalc
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