This guy built 9 different types of bridges made out of LEGO to demonstrate the complexity of each one. They get better and more advanced each each time. LEGOs can be impressive for those knowing how to use them.
∫ (5x + 7)/(x² + 3x + 2) dx Quadratic in the denominator, linear in the numerator — perfect for partial fractions or a clever rewrite. Smooth integral once you spot the pattern! #STEM #EngineeringMath #Calculus
∫ (x + 1)(x + log x)² / x dx Logs + algebra = surprisingly elegant solution. Expand, simplify, integrate. #MathTwitter #CalculusTricks #STEM
∫ (x + 1)(x + log x)² / x dx When algebra meets logs, magic happens! ✨ This integral becomes super manageable with the right expansion. #IntegrationTechniques #MathMagic #STEMReels
∫ (x + 1)(x + log x)² / x dx When algebra meets logs, magic happens! ✨ This integral becomes super manageable with the right expansion. #IntegrationTechniques #MathMagic #STEMReels #math
∫ dx / (1 + cos x) A classic trig integral every student should master. One identity changes everything. #Trigonometry #LearnMath #Integration
Round Hole Marker（丸穴マーカー）” は、正確かつ手軽に穴をマーキングするための究極のツールです。 イノベーションと精密さが融合するこの製品は、金属加工、配管設置、または正確な穴の位置決めが必要なあらゆる作業において、毎回正確なマーキングを実現します。#stronghandtools #溶接 #welding…
When two lines intersect, the opposite angles are ALWAYS equal! 👀 No proofs needed, just look 👇 (Proved live in GeoGebra – drag the lines, the opposite angles stay identical forever) This is the Vertical Angles Theorem in action! #Geometry #Math #GeoGebra…
∫ (3x + 5)⁷ dx Power rule heaven! 😍 This integral is all about pattern recognition — and it’s super satisfying. #PowerRule #MathMadeEasy #STEMVideos
🔥 A stunning example of mathematical beauty! This integral built from an infinite nested radical of sine powers looks intimidating, but it simplifies elegantly using the series for e and Beta/Gamma functions. A reminder of how infinite processes, special functions, and calculus…
∫ e^(2x) / (e^(2x) + 3) dx One of the cleanest u-substitution problems ever. If you love smooth integrals, this one’s for you. #MathCommunity #uSubstitution #STEM
How do you make a wing fly better? You have to force the air to "stick" to it. ✈️💨 This infographic breaks down Boundary Layer Control: the engineering hack used to fight drag and enable crazy short takeoffs and landings (STOL). Master the flow, master the sky. 🧠…
The satisfying beauty of a trigonometric proof. 📐✨ This equation looks intimidating at first glance. But look what happens when you apply the sine difference formula. Complex fractions transform into simple tangent terms, creating a perfect telescoping sum that vanishes into…
Nice little algebra workout. 🧠💪 Given: a + b = 2 2ᵃ + 2ᵇ = 6 Find:4ᵃ + 4ᵇ = ? The trick? Don't try to solve for 'a' or 'b' individually. Just square the second equation. 👇 #Math #Algebra #STEM #Engineering #Maths
Average vs Instantaneous: the calculus clash. Δy/Δx = change over distance (secant). dy/dx = change at a point (tangent). One zooms out, the other zooms in. Same slope idea, different lens. #calculus #derivativesnotation #mathreel #basicmathematics #mathvisualization…
Solving this wild-looking integral step by step: ∫ x³ sin(tan⁻¹(x⁴)) / (1 + x⁸) dx It’s way easier than it looks 👀 #math #calculus
What this really means is that an ordinary deck of cards hides an absurd amount of possibility. Every shuffle is a unique arrangement in the history of the universe, a pattern no one has ever seen and will almost certainly never see again. If you wrote out all possible orders you…
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