Questions (and final answers, no steps) of MIT Integration Bee can be found at https://math.mit.edu/~yyao1/pdf/ #short #integral #trigonometry Thanks for watching my video. Please subscribe to my channel. / dryapkeemsiah Following are some of my videos on calculus, algebra, logarithm, trigonometry and some older video on ioT/Smart Home: Calculus [1] Solving Gaussian Integral (integration of gaussian function) by Feynman’s Method. • Solving Gaussian Integral (integration of ... [2] Created another 1 minute video for Happy π day! Solve an integral and the answer is π! • Created another 1 minute video for Happy π... [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)/(x^(20... [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 + 3)) ... [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 sin^(... [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 between 2 c... [7] Solving integral (x^2 - 1)/(x^4 - 1) dx. • ∫(x²- 1)/(x⁴ - 1) dx. Solve an interesting... [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 constant & ... [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(-2) ... 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 this... [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 without usi... [4] 15 seconds video on solving sqrt(10300 - 9*10*10*11) without using calculator and computer. • 15 seconds video on solving sqrt(10300 - ... [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 ((3/2)*... [6] An infinite radical equation, i.e., sqrt(3*sqrt(7*sqrt(…))) solve by Geometric Series. • An infinite radical equation, i.e., sqrt(3... [7] If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, then (a² - (3/2)*b²)^11 = ? • If (√ 2 + √ 3)^11 = a √ 2 + b√ 3, then (a²... [8] Given (|x-3| - 4)^2 = 4. How many answers for x? • Solving (|x-3| - 4)^2 = 4. How many answer... [9] Solving an interesting infinite power equation. • Solving an interesting infinite power equa... 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 (ln(x))... [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 equal to ... [3] Solving x^(ln x) = x for real numbers. How many answers for x? • Solving x^(ln x) = x for real numbers. How... [4] Solving a radical-absolute equation. Is this a quadratic equation too? • Solving a radical-absolute equation. Is th... [5] Solving a logarithm-quadratic question of Stanford Math Tournament 2021. Calculator is not allowed. • Solving a logarithm-quadratic question of ... [6] 15 seconds video to explain the answer for ln(-1) based on principal value of trigonometry. • 15 seconds video to explain the answer for... [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. How m... Trigonometry [1] Solving a trigonometry-power equation? Solution is fairly simple and can be explained in 60 seconds. • Solving a trigonometry-power equation? Sol... [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(θ) &... [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) = t... [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 basic... 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 Sonoff ... [2] Can We Remote Access Node-red Server from another computer? Part 1: Wireless/Wire LAN • Can We Remote Access Node-red Server from ... [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 iPhone ... [4] Smart Home: Security Automation Alarm System using Aqara G2H Camera Hub, Motion & Contact Sensors • Smart Home: Security Automation Alarm Syst... [5] Node-red Iot Server & Telegram bot - Part 2: Search & display photo using telegrambot (Windows 10) • Node-red Iot Server & Telegram bot - Part ...