Princeton U: trig integral ∫sin(x)/√(1+cos(x)) dx

Show that ar sinh(x) = ln(x + √ (x^2+1))

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Solve the following differential equation cos^2(x)dy/dx +y = tan(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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2nd/3ways: trig integral ∫sec(x) dx

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

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

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

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integral ∫ x dx withOUT using Power rule.

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

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derivative (f(x)/g(x))^h(x)

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Show log b^n(x^m) = m/n logb(x)

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3rd/3ways: trig integral ∫sec(x) dx

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integral ∫√(x-a)/x dx

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sq root derivative √x [Good to know the result]

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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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Alternate way: trig integral ∫cos(x) dx

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Quickie: Find the value of √((470+160)(470-160) +2560)

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

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jackie chan adventure

Gokumo

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