Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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Swinburne U 2nd way: e^(-e^x) e^x dx

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logic Idempotent law show x=xVx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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2 ways: integral ∫ (4t+7) dt

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prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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Screen Recording 2024-05-19 at 11.13.23 PM

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Example: Find the sum

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Screen Recording 2024-05-19 at 9.45.17 PM

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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

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integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx

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#5 MIT 2022 Integration Bee Qualifying Exam

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Screen Recording 2024-05-18 at 11.10.22 PM

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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William & Mary Math 112: trig integral x cos(3x) dx

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Screen Recording 2024-05-12 at 9.04.39 PM

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"baby" fact: exp e^(ix)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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