exp derivative (log f(ax+b) (g(cx+d)))^h(mx+n)

1st way: trig derivative (sin(x))^x

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logic Idempotent law show x=xVx

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2nd way: integral ∫ log √x(x^n) dx

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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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Review: Linear form, Quadratic form & Bilinear form

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Find the area via Pick's Theorem

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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Always ZERO

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UC Davis #1 2nd way: integral ∫1/(x^2-4) dx [integration by partial fraction]

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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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JEE Main integral ∫x^5 /√(1+x^3) dx

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We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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#7 2020 MIT Integration Bee Quali Exam: sin^4(x) cos^4(x) (cos(x)+sin(x))(cos(x)-sin(x)) dx

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

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

Mustakim abadul

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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integral ∫x^(-1) log(x) dx

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

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example Find 1+2+3+...+n via Pick's Theorem

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