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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2nd way: derivative (x^x)√ x
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2 ways: sq root derivative 1/(√√(1/√x))
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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sq root integral ∫1/√...√√x dx with n √
derivative Find dy/dx if y+sin(y)= cos(x)
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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2 ways: sq root √x^x
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commutative: ab=ba via "picture"
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#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam
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🪔 Happy Deepavali 🪔 [Nov-12-2023]
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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)
2 ways: exp derivative a^(logb(cos(px+q))
Derivative: Don't blindly use the Quotient Rule every time you see a quotient
#6 2024 MIT Integration Bee Qualifying Exam