UC Davis #1 integral 1/(1+√x) dx via power sub.

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

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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

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2 ways: sq root derivative 1/(√√(1/√x))

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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Pascal's triangle nth triangular number [examples]

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3 ways: derivative e^y=x

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