*Screen Recording 2024-05-05 at 11.12.45 PM

Find r, if 5 4Pr = 6 5(r-1)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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

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lim x/e^x? as x→∞

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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Screen Recording 2023-12-30 at 9.34.01 PM

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Screen Recording 2024-05-13 at 9.18.43 PM

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2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx

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8Screen Recording 2023-12-07 at 1.55.57 AM

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Evaluate these 9 integrals containing ...

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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Screen Recording 2024-02-21 at 10.01.27 PM

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#6 2010 MIT Integration Bee Qualifying Exam

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

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Screen Recording 2023-12-07 at 2.04.49 AM

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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