COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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prob stat: One sample of n=4 scores has a mean of M=10, &

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logic How can we check our Boolean simplification is done correctly?

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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1st/2ways: r-Permutations

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Growing patterns #2

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5 ways: trig derivative tan(x).

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2nd/3parts: Checkpoint 1.1 STPM Math T Sem2

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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2 ways: exp integral ∫(p^x + q^x)/r^x dx

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