derivative differentiate √((x-3)(x^2+4)/(3x^2+4x+5))

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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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

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2nd way: integral ∫ log √x(x^n) dx

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_[WORLD_TRIGGER]_SEASON_02_EPISODE_08__

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derivative log f(g(x)) (p(r(x)))

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2 ways: Σ 1? where k=m to n

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If x=at^2,, y=2at, then find d2y/dx2

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alternate way: count sum 1+3+5+ ... +(2n-1)

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture

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Determine the equation of the normal drawn to the astroid ...

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3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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Cancellation Law ❌ Matrices

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