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

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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

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2nd/3ways: trig integral ∫sec(x) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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

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integral ∫ x dx withOUT using Power rule.

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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

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Screen Recording 2024-03-03 at 12.00.11 AM

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2nd way: derivative x^n w.r.t x^x

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Screen Recording 2024-05-06 at 11.53.23 PM

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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prob stat: Show ∑(xk-x̄)(yk-ȳ) = ∑(xk-x̄) yk where k=1 to n

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Alternate way: ∫1/(x^2+a^2) dx

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integral ∫√(x-a)/x dx

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Screen Recording 2024-03-03 at 12.03.07 AM

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Screen Recording 2024-03-02 at 11.52.18 PM

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1st way: derivative (x^2+1)^sin(x)

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2nd way: arc trig derivative 1/arc tan(x)

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