Subjects calculus

Simple Integral B57Ebc

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Simple Integral B57Ebc


1. Imagine you have a big row of candy 🍬🍬🍬🍬🍬 and you want to find out how many candies you get if you keep adding more and more candies step by step. 2. In math, adding step by step is like an integral. It helps us find the total amount. 3. Let's try a simple example: Find the integral of $f(x) = 2$ from $x=0$ to $x=3$. 4. This means we add the number 2, many times from 0 up to 3. 5. Think of it like groups of candies:
Group 1:
🍬 🍬
(2 candies)
Add ➕
Group 2:
🍬 🍬
(2 candies)
Add ➕
Group 3:
🍬 🍬
(2 candies)
= 🎯
Total candies:
🍬 🍬 🍬 🍬 🍬 🍬
(6 candies)
6. So the integral means adding $2 + 2 + 2 = 6$. 7. In math, we write this as: $$\int_0^3 2 \, dx = 2 \times 3 = 6$$ Great job! You found the total candies by adding step by step using an integral! 🎉