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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
Swinburne U 2nd way: e^(-e^x) e^x dx
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integral ∫ x dx withOUT using Power rule.
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Review: Linear form, Quadratic form & Bilinear form
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
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example Find 1+2+3+...+n via Pick's Theorem
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0
3 picture views of the sum ... 1+2+3+...+n