Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

2nd way: integral ∫x/(2ax-x^2) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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

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

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

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2nd way: derivative (x^x)^x

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Review: Linear form, Quadratic form & Bilinear form

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Why the mean of AP is the median of AP? mean=median?

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

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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Find the mean 118,50,84,67,101 withOUT calculation. Support your answer.

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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