Alright, future engineers!

An **Integral** calculates the total accumulation of a quantity, often representing the area under a curve. Ex: `∫[a,b] f(x) dx` is the area from `a` to `b`. Pro-Tip: Think of it as summing up infinitely tiny slices!

#Calculus #Integrals #STEM #StudyNotes

Alright, future engineers!

A **Definite Integral** calculates the *net area* under a function's curve between two points. Ex: Area = ∫[a,b] f(x) dx. Pro-Tip: Think of it as summing infinitely many tiny rectangles!

#Calculus #Integrals #STEM #StudyNotes

Integrales de línea 01: Explicación inicial y ejemplo

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An integral finds the *total accumulation* or area under a curve. Ex: Finding total distance traveled from a velocity function. Pro-Tip: It's essentially the *antiderivative* – reversing differentiation. Always add +C for indefinite integrals!
#Calculus #Integrals #STEM #StudyNotes
Mi más reciente video de física y matemáticas es este ejemplo resuelto de una integral usando sustitución trigonométrica. ¡Ideal para impresionar a las visitas! https://youtu.be/xssqvVatPnw
#cálculo #integrales #matemáticas, #calculus, #integrals #sustitucióntrigonométrica
Integración por sustitución trigonométrica

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It’s incredible that these two identities can explain so much.

Link: https://arxiv.org/abs/2505.03754

#math #calculus #euler #unification #generalization #integrals #integration

Here's a little math problem that breaks at least one problem solver and one LLM. It breaks them in the sense that they don't know how to solve it, which is marginally better than spewing out authoritative-looking nonsense.

\int \frac{e^{x}}{\sqrt{1-16e^{2x}}} dx

See the image for my solution.

#math #calculus #integrals #LLMs #AI #ProblemSolver

Oh, the sheer thrill of evaluating integrals! 🙄 Let's all pretend #Feynman single-handedly invented #math while ignoring the guy named #Leibniz who did it decades earlier. 🤦‍♂️ Clearly, contour integration is for those who didn't get the memo on Feynman's party trick. 🎉
https://zackyzz.github.io/feynman.html #integrals #education #contourintegration #HackerNews #ngated
Feynman's Trick

Feynman's Trick

have you ever needed a symbol for three snakes sharing the same hula hoop?

well, unicode has got you covered!

U+2230 : ∰

#math
#calculus
#integrals