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∫arctan(1/x) dx = ??

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∫tan⁻¹(e⁻ˣ) dx [-1, 1]. interesting definite integral question but with surprisingly simple answer.

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derivative of -(1-x)ln(1-x) (1-x)

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integral of 1/x

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∫ln(1 x²)/x² dx = ?? mit integration bee 2024, regular season problem 16. #mitintegrationbee

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∫x²⁰²²/(x 1)²⁰²⁴ dx [0, ∞] = ? solve integral using inverting variable strategy.

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(∫_0^1 (1 - x²)²⁰²³ dx)/(∫_0^1 (1 - x²)²⁰²⁴ dx). solve by recursive formula & integration by parts.

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how to integrate 1/(xlnx)

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memorization trick for graphing functions part 1 | algebra math hack #shorts #math #school

8:27

proof: the derivative of ln(x)=1/x by first principles

2:44

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∫arctan(e^(tan(x))) dx [0, 2π] = ?

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1 in 1 minute

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solving |x|^(ln(|x|)) = 1, and obtain x = 1 and x = -1.

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