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

sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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

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lim x/e^x? as x→∞

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Growing patterns #3

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2nd way: derivative x^n w.r.t x^x

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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诅咒玩偶 II - 11款恐怖生物角色包

bili_1482622696

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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2024 #3 MIT Integration Bee Final Lightning Round

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Since then, every time a girl group goes to Coachella, this girl is always dragged out.

ayueaichipi

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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Screen Recording 2024-05-19 at 9.45.17 PM

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5 ways: trig Derivative of sin^2(x)

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Screen Recording 2024-05-10 at 7.55.27 PM

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2nd/2ways: Find lim (z^3-8)/(z-2) for z tends to 2

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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