Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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

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lim x/e^x? as x→∞

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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derivative y=a^(arc sin(x))^2

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Screen Recording 2024-05-19 at 11.13.23 PM

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Screen Recording 2024-05-18 at 10.21.39 PM

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Bijection of elements in tn & a pair of elements of (n+1)

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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trig integral ∫1/(1+cos(ax+b)) dx

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Screen Recording 2024-05-10 at 6.19.39 PM

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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If sec(x+y)=xy then find dy/dx

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Screen Recording 2024-05-10 at 6.17.33 PM

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9Screen Recording 2023-12-02 at 2.43.56 AM

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