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Screen Recording 2024-05-05 at 11.24.33 PM

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Screen Recording 2024-05-13 at 9.18.43 PM
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Screen Recording 2024-05-13 at 9.18.43 PM

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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

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

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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

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Swinburne U 2nd way: e^(-e^x) e^x dx
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Swinburne U 2nd way: e^(-e^x) e^x dx

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Pantun Melayu [Sorong papan tarik papan]

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

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.
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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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Lamar U: Use log. differentiation to find the 1st derivative of the given function
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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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2nd way: trig integral ∫sin(x/a) dx
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2nd way: trig integral ∫sin(x/a) dx

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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You really know how to cause trouble...
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You really know how to cause trouble...

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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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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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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