trig integral ∫cos(x) sin(x)/(cos^2(x)-1) dx

2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Review: Linear form, Quadratic form & Bilinear form

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lim x/e^x? as 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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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Screen Recording 2024-05-13 at 9.18.43 PM

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2 ways: exp derivative a^(logb(cos(px+q))

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Screen Recording 2024-05-18 at 10.21.39 PM

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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Screen Recording 2024-02-16 at 8.23.14 PM

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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2nd/2ways: Taylor series of sin(x)

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Screen Recording 2024-02-22 at 10.30.06 PM

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Evaluate these 7 integrals ...

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2nd/2ways: Taylor series of cos(x)

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prob stat The members of an orchestra were asked how many instruments each could play.

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prob stat: A die with 4 red faces & 2 green faces is rolled twice.

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