logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

example: Mean, Median & Mode

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integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

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

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

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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trig Write each expression as an equivalent algebraic expression involving only x.

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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4 ways: trig integral ∫tan(x) dx

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

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integral ∫x^3/(x+2) dx

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UC Davis: 2nd way differentiate y=(sin(x))^(x^3)

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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Screen Recording 2024-05-19 at 9.47.07 PM

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Ax+By+C to y=mx+c

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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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3 ways: trig integral ∫sec^2(x) tan(x) dx

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OSU Math 1151 Practice2: Compute the derivative (1)-(8)

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