derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Pantun Melayu [Sorong papan tarik papan]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Alternate way: exp derivative x^n

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Determine the equation of the normal drawn to the astroid ...

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Bijection of elements in tn & a pair of elements of (n+1)

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Difference of 2 nonconsecutive triangular numbers

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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2024 MIT Integration Bee Final

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trig integral a) ∫csc^2(x) dx

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Sum/Difference of 2 EVEN function is EVEN

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3 ways: derivative e^y=x

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derivative differentiate x^sin(x) + (sin(x))^cos(x)

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trig derivative differentiate x^sin(x) + (sin(x))^cos(x)

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1st/2parts: 2 (elementary) rules

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2nd way: lim ((1+h)^3-1)/x? as h →0

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