Math Problem Statement

intergral of 5

Solution

The integral of a constant is simply the constant multiplied by the variable of integration. For the integral of 55, the result is:

5dx=5x+C\int 5 \, dx = 5x + C

where CC is the constant of integration.

Would you like more details on this concept, or do you have any further questions?

Here are 5 related questions:

  1. What is the integral of a constant other than 5?
  2. How does the constant of integration CC work in indefinite integrals?
  3. What is the difference between indefinite and definite integrals?
  4. Can you integrate a function with respect to other variables besides xx?
  5. What is the role of the constant when solving definite integrals?

Tip: When integrating constants, remember that you're essentially multiplying the constant by the variable and adding the constant of integration, CC, to account for all possible antiderivatives.

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Math Problem Analysis

Mathematical Concepts

Integration
Constant Functions

Formulas

\int a \, dx = ax + C

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 9-12