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

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

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

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Pantun Melayu [Sorong papan tarik papan]

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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trig Evaluate each expression below withOUT using a calculator.

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

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

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log derivative ln(x) via chain rule

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trig integral ∫sec^2(x)/tan(x) dx vs ∫tan(x)/sec^2(x) dx

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3rd/3 parts: Growing patterns

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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly

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2nd/3ways: Laplace Show that ...

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Growing patterns #2

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Suppose f & g are positive functions. Obtain the product rule for (fg)' by differentiating ...

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