2nd way: trig integral ∫sin(x) (a-cos(2x))^1/n cos(x) dx

prob stat: x̄=∑xk where k=1,2,3,...,n?

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logic Idempotent law show x=xVx

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2nd/3ways: trig integral ∫sec(x) dx

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

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2nd way: integral ∫ log √x(x^n) dx

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

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Show log b^n(x^m) = m/n logb(x)

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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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1st/3 parts: Growing patterns

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2 ways: derivative ln(ax-b)^(p-qx)

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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4 ways: Evaluate Σ(2k+1) k=1,20

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Lamar U: implicit derivative Find y' for ...

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6th form Pure Math: hyper trig integrate ∫1/(sin(x) + cos(x)) dx1/(sinh(x)+2cosh(x)) dx

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Always ZERO

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GANJUTSU KING..❤️‍🔥❤️‍🔥ITACHI UCHIHA❤️‍🔥💬HE IS TRUE..SELF SECRIFICE🥺🥺🥹🥹😓

Mustakim abadul

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3 ways: If y=x/(1+x^2) find dy/dx.

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2 ways: integral 1 dx

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There are 2 lines. One line has 3 points & the other line has 6 points.

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#23 2019 MIT Integration Bee Final

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