Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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2 ways: integral ∫(x-a)/(x+a) dx

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Screen Recording 2024-05-05 at 11.28.23 PM

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#6 2024 MIT Integration Bee Qualifying Exam

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matrix example: How to select the ROW you want ...

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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#4 2024 MIT Integration Bee Qualifying Exam

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logic: Translate the following compound into symbols using statements P & Q & logical connective

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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#20 2022 MIT Integration Bee Qualifying Exam

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2nd way: exp integral ∫e^(a√x)/√x dx

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2nd way: trig integral ∫cos(x)/(sin^2(x) + 4sin(x)+3) dx

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2nd way: trig integral 1/(cot(x)-tan(x)) dx

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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