#mitintegrationbee #integrationtricks #logarithm
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Questions of MIT Integration Bee
https://math.mit.edu/~yyao1/pdf/
Following are some of playlist and ideos on calculus, algebra, logarithm, trigonometry and some older video on ioT/Smart Home:
MIT Integration Bee
• MIT Integration Bee
Area Under Curves
• Area Under Curves
JEE-Main, India
• JEE-Main, India
UK AQA/CIE A-Level
• UK AQA/CIE A-Level
Stanford Math Tournament
• Stanford Math Tournament
Calculus
[1] Solving Gaussian Integral (integration of gaussian function) by Feynman’s Method.
• Solving Gaussian Integral (integratio...
[2] Created another 1 minute video for Happy π day! Solve an integral and the answer is π!
• Created another 1 minute video for Ha...
[3] Solving integral x^(9)*(x^(10) + 1)/(x^(20) + 1) dx. Can we solve it using substitution?
• Solving integral x^(9)*(x^(10) + 1)/(...
[4] Solving integral 1/(-sqrt(x^2 + 4*x + 3)) dx. Can it be solved by substitution?
• Solving integral 1/(-sqrt(x^2 + 4*x +...
[5] Solving sum of k=0 to ∞ for integral sin^(2k) (x) dx. Solution is much easier than expected!
• Solving sum of k=0 to ∞ for integral ...
[6] Solving area of region bounded between 2 curves, i.e., {(x,y): x^2 ≤ y ≤ x + 2} using integration.
• Solving area of region bounded betwee...
[7] Solving integral (x^2 - 1)/(x^4 - 1) dx.
• ∫(x²- 1)/(x⁴ - 1) dx. Solve an intere...
[8] Given y=kx^2, x=ky^2, k is +ve constant & area enclosed between parabola curves is 1 unit^2. Find k.
• Given y=kx^2, x=ky^2, k is +ve consta...
[9] Given f(x) = integral (x^5-16x)/(x^8-256) dx and f(-2) = π/32. Find f(2). Explanation in 60 seconds
• f(x) = ∫ (x^5-16x)/(x^8-256) dx and f...
Algebra
[1] Is this a quartic or quadratic problem? Can we solve it within 60 seconds and without calculator?
• Solving sqrt(100*102*102*104 + 4). Is...
[2] Solving (10016*104*12*8 + 256)^0.5 but without using calculator & computer. Answer is a nice number!
• √(10016*104*12*8 + 256). Solve withou...
[4] 15 seconds video on solving sqrt(10300 - 9*10*10*11) without using calculator and computer.
• 15 seconds video on solving sqrt(103...
[5] Given x^2 - x - 1 = 0, solve cos^1 ((3/2)*(7*x + 1)/(x^9 - 18*x - 13)).
• Given x^2 - x - 1 = 0, solve cos^1 ((...
[6] An infinite radical equation, i.e., sqrt(3*sqrt(7*sqrt(…))) solve by Geometric Series.
• An infinite radical equation, i.e., s...
[7] If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, then (a² - (3/2)*b²)^11 = ?
• If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, the...
[8] Given (|x-3| - 4)^2 = 4. How many answers for x?
• Solving (|x-3| - 4)^2 = 4. How many a...
Logarithm/exponential
[1] Solving a finite power equation of (ln(x))^2. The solution is surprisingly easier than expected.
• Solving a finite power equation of (l...
[2] Given that ln(3) is approximately equal to 1.099, find ln(3.1) using calculus without calculator.
• Given that ln 3 is approximately equa...
[3] Solving x^(ln x) = x for real numbers. How many answers for x?
• Solving x^(ln x) = x for real numbers...
[4] Solving a radical-absolute equation. Is this a quadratic equation too?
• Solving a radical-absolute equation. ...
[5] Solving a logarithm-quadratic question of Stanford Math Tournament 2021. Calculator is not allowed.
• Solving a logarithm-quadratic questio...
[6] 15 seconds video to explain the answer for ln(-1) based on principal value of trigonometry.
• 15 seconds video to explain the answe...
[7] 15 seconds video on solving x^(ln|x|) = 1/|x|. There are 4 answers for x?
• x^(ln|x|) = 1/|x|. 15 seconds video. ...
Trigonometry
[1] Solving a trigonometry-power equation? Solution is fairly simple and can be explained in 60 seconds.
• Solving a trigonometry-power equation...
[2] 45 seconds video deriving cos(-θ)=cos(θ) & sin(-θ)=-sin(θ). Basic identities of trigonometry Part 5.
• 45 seconds video deriving cos(-θ)=cos...
[3] 15 seconds video for deriving sec^2(x) = tan^2(x) + 1. Basic identities of trigonometry Part 1.
• 15 seconds video for deriving sec^2(x...
[4] 15 seconds video for deriving sin^2(x) + cos^2(x) = 1. Basic identities of trigonometry Part 2.
• sin²(x) + cos²(x) = 1. Derivation of ...
IoT/Smart Home
[1] Smart Home: Control Autogate using Sonoff RF Bridge with eWelink App & voice command of Amazon Alexa
• Smart Home: Control Autogate using So...
[2] Can We Remote Access Node-red Server from another computer? Part 1: Wireless/Wire LAN
• Can We Remote Access Node-red Server ...
[3] How to install Amazon Alexa App on iPhone in Malaysia or region without it in Apple Store (Feb 2021)
• How to install Amazon Alexa App on iP...
[4] Smart Home: Security Automation Alarm System using Aqara G2H Camera Hub, Motion & Contact Sensors
• Smart Home: Security Automation Alarm...
[5] Node-red Iot Server & Telegram bot - Part 2: Search & display photo using telegrambot (Windows 10)
• Node-red Iot Server & Telegram bot - ...
Watch video ∫x⁴/(3 - 6x + 6x² - 4x³ + 2x⁴) dx = ?? MIT Integration Bee 2024, Qualifying Exam, Question 19. online without registration, duration hours minute second in high quality. This video was added by user Dr. Yap Keem Siah 04 August 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 262 once and liked it 22 people.