Math Problem Statement

integral of 2dx

Solution

The integral of 2dx2 \, dx is straightforward.

To find the integral, we treat 22 as a constant:

2dx=2x+C\int 2 \, dx = 2x + C

Where CC is the constant of integration.

Would you like further details on integration or have any questions about the steps? Here's a list of related topics you might be interested in:

  1. What is the meaning of the constant of integration CC?
  2. How do we integrate other simple constant functions like 3dx3 \, dx?
  3. How do definite integrals differ from indefinite ones?
  4. Can the integral of a constant function represent an area under a curve?
  5. What are some common rules of integration?

Tip: Remember, the process of integration is essentially the reverse of differentiation. So, if you differentiate 2x2x, you'd get 22 back!

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Math Problem Analysis

Mathematical Concepts

Integration
Indefinite Integrals

Formulas

\int 2 \, dx = 2x + C

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12