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Vandermonde's Identity

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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trig Write each expression as an equivalent algebraic expression involving only x.

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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

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3 ways: exp integral e^(2x)/(1+e^x) dx

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Will we lose if we play for 55 seconds first?

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Derivative d/dx(x^x) NOT equal ...
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Derivative d/dx(x^x) NOT equal ...

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Example: Find the sum
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Example: Find the sum

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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Growing patterns #3
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Growing patterns #3

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