What is an Integral? 📐
An **integral** is a fundamental concept in calculus that represents the **accumulation** of quantities. It's the inverse of a derivative. While a derivative finds the slope of a curve, an integral finds the **area under a curve** between two points.
The two main types are:
- **Indefinite Integral:** Finds a family of functions whose derivative is the original function. It includes a constant of integration, $C$.
- **Definite Integral:** Calculates a numerical value for the area under a curve between specific points.
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Video: Visualizing the Integral 🎬
Watch this video to see how an integral represents the area under a curve.
Practice Problems (Power Rule for Integrals)
Use the Power Rule to find the indefinite integral of the following functions.
1) $\int x^3 \,dx$
2) $\int 4x^5 \,dx$
3) $\int \frac{1}{\sqrt{x}} \,dx$
4) $\int 7 \,dx$
⚡ Integral Speed Quiz
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