Welcome to the World of Integrals

What is an Integral?

In calculus, an integral is a fundamental concept that represents an area or a generalization of area. Integrals allow us to compute the collective sum of infinitely many infinitesimal quantities. They play a crucial role in mathematical analysis and have applications in science and engineering.

Types of Integrals

• Definite Integral: Evaluates the area under a curve within a specific interval.
• Indefinite Integral: Represents a family of functions and solves for the antiderivative without specific bounds.

Integral Formulas and Theorems

Here are some fundamental formulas:

• Basic Power Rule: ∫xⁿ dx = (xⁿ⁺¹)/(n+1) + C
• Fundamental Theorem of Calculus: Connects differentiation and integration, providing a way to evaluate definite integrals.

Interactive Learning

Test your knowledge and practice integrals with problems and solutions! Visit our practice page to start trying problems on your own.