2 ways: Find the derivative y=x^n logb(x)

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2nd/2ways: Taylor series of cos(x)

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2nd/2ways: Taylor series of cos(x)

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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1st/2ways: Taylor series of cos(x)

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1st/2ways: Taylor series of cos(x)

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

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

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2

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2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2

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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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