2nd way: log ln(tan(x))/(sin(x) cos(x)) dx

1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(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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1st way: exp ∫(e^x)/x (1+x log(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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2 ways: sq root derivative 1/(√√(1/√x))

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

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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JHU: integral ∫t^3 e^(t^2) dt

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

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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Review: Multiplying each obs. by a CONSTANT results in new variance =

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prob stat: The prob. that it will snow tomorrow is 0.75.

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

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Given events J & K:

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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Screen Recording 2024-02-02 at 1.54.05 AM

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Screen Recording 2024-05-10 at 6.19.39 PM

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examples: 2x2 matrix which is its own inverse

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