Dr. Yap Keem Siah

∫(sec²(1 + ln(x)) - tan(1 + ln(x)))/x² = ?? MIT Integration Bee 2022, Regular Season, Problem 12.

∫(x + sin(x))/(1 + cos(x)) dx = ?? MIT Integration Bee 2022, Regular Season, Problem 8.

∫arctan(√x)) dx = ?? MIT Integration Bee 2024, Regular Season, Problem 8.

∫e^-x√(1 + cot^2(arccos(e^-x))) dx [0, 1] = ? MIT Integration Bee 2024, Regular Season, Problem 11.

∫x⁴/(3 - 6x + 6x² - 4x³ + 2x⁴) dx = ?? MIT Integration Bee 2024, Qualifying Exam, Question 19.

∫(eˣ + xeˣ)/(x²e²ˣ - 1) dx [1, ∞] = ?? MIT Integration Bee 2024, Regular Season, Problem 19.

∫(2023x + 1)/(x² + 2024 ) dx. MIT Integration Bee 2024, Regular Season, Problem 4.

∫(x + 1 - e^-x)*e^(x*e^x) dx = ?? MIT Integration Bee 2024, Qualifying Exam, Question 15.

∫ln(1 + x²)/x² dx = ?? MIT Integration Bee 2024, Regular Season Problem 16.

∫1/(x²⁰²⁴ - x⁴⁰⁴⁷) dx = ?? MIT Integration Bee 2024, Regular Season Problem 2.

∫(arctan(x)/(1-x²)+arctanh(x)/(1+x²)) dx. MIT Integration Bee 2024, Qualifying Exam, Question 16.

∫x.sin⁴(x) dx [0, π] = ?? MIT Integration Bee 2023, Regular Season Problem 8.

Limit x→0 [ (√(x² + 4)-2)/x²] = ?? Solve WITHOUT using L' Hôpital's Rule And Taylor Series.

∫ln((1/x)^(1/x)) dx = ?

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Smart Home: Control Smart Color Light Bulb using Node-red Telegram Bot with RGB & Hex color model.

∫(x²- 1)/(x⁴ - 1) dx. Solve an interesting integration problem.

Limit x→ 0 [cos(x)]^(1/x²) = ?? Solve WITHOUT using L' Hôpital's Rule.

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Node-red Iot Server & Telegram bot - Part 2: Search & display photo using telegrambot (Windows 10)

Where is the mistake? Find out the mistake in 15 seconds. Just for laugh! 😅

sin²(x) + cos²(x) = 1. Derivation of basic identities of trigonometry Part 2.

∫{√(4 - x)/√x - √x/√(4 - x)} dx [0, 2] = ? Solving integration with radicals.

∫ln(√-1) dx = xln(√-1) + C. Is this a good answer? Can Euler’s Formula make it better?

∫(eˣ + cos(x))/(eˣ + sin(x)) dx. MIT Integration Bee 2018 (Question 7, Qualifying Exam).

sum of k=2 to ∞ sin²ᵏ(x) = ??

15 seconds Math Joke 😹. Get the right answer (but wrong method) for a cubic & fourth roots problem.

Solving a radical-quartic-quadratic problem in 59 seconds but without calculator and computer.

∫(sinh(x) + cosh(x))¹¹ dx [0, 2π] = ? MIT Integration Bee 2024, Qualifying Exam, Question 10.

(2023²⁰²⁴ - 2023²⁰²³)/(2023²⁰²⁴ + 2023²⁰²³) = ?. Solve without using calculator and computer.

∫sec⁻¹(√(x^2 + 1))/(x^2 - x + 1) dx [1/2, 2]. Solve by properties of trigonometry.

√((10001)(101)(11)(9) + 101 - 100000000) = ? Solving radical equation without calculator & computer.

∛((1600-51)/(40-√51)-√51 - 13) = ? Solve a cubic-quadratic-radical problem without using calculator.

∫e^(-1/x)/x² dx [0, ∞] = ??

Given sqrt(100) = 10, find sqrt(99) using calculus within 60 seconds but without calculator.

∫(sin⁶(x) + cos⁶(x) + 3sin²(x)cos²(x)) dx. MIT Integration Bee 2023, Qualifying Exam, Question 12.

Given x^(x^(x^(1/2))) = 1/2, what is x?

∫(x + e + 1)xᵉeˣ dx = ?? MIT Integration Bee 2023, Qualifying Exam, Question 13.

∫(1 - √(1 - x²)) dx [-1, 1] = ? Integration problem with answer by area under curve.

∫√(-1)^(√(-1)x) dx [0, ∞] = ?? Solve by Euler Formula.