Understanding Definite Integrals 🐸

Welcome to our definite integrals tutorial! Here, you'll learn how to compute definite integrals, which are a fundamental concept in calculus. Definite integrals are used to calculate the area under a curve within a specified interval.

Key Concepts 📚

• The definite integral of a function f(x) from a to b is represented as ∫_a^b f(x) dx.
• This represents the net area under the curve of f(x) from x = a to x = b.
• If f(x) is continuous on [a, b], the integral can be computed.

Example Problem 📝

Calculate ∫₁³ (x^2) dx.

To solve this, find the antiderivative of x², which is (1/3)x³. Evaluate from 1 to 3: (1/3)(3³) - (1/3)(1³) = 9 - 1/3 = 26/3.

Further Reading 📘

Explore more on integrals and calculus:

• Indefinite Integrals
• Applications of Integrals
• Introduction to Calculus