Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

exp Calculate ∫x^3 3^x dx via IBP

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

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

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Review: Linear form, Quadratic form & Bilinear form

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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

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

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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

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U Penn: Show that the following decomposition CANNOT hold ...

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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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2nd way: trig integral ∫sin^2(x) cos^3(x) dx

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

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2nd/2 ways: MIT Integration Bee

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Screen Recording 2024-02-16 at 9.12.26 PM

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Cancellation Law ❌ Matrices

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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Screen Recording 2024-02-16 at 9.17.40 PM

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