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This Tricky Definite Integral Has a Surprising Lower Limit
Автор: Calculus Diaries
Загружено: 2026-01-20
Просмотров: 142
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This problem asks for the value of "a" such that the integral from a to pi/2 of 68cos^2(x)/(1-17sin^2(x)) dx = pi - 8ln(5/3).
Although the integrand looks complicated, a clever rewrite and careful evaluation reveal a surprisingly clean result.
In this video, we break down the steps clearly and show how trigonometric identities and logarithmic terms emerge naturally from the integral.
If you enjoy beautiful calculus problems and elegant solutions, subscribe to Calculus Diaries for more.
#integrationtechniques #integralcalculus #integration
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