Constant Rule Integration Calculator

Published on: July 17, 2026
Final Answer: Free • Full Steps: Plus

This Constant Rule Integration Calculator helps you integrate constants such as 7 or -3. The integral of a constant k is simply kx plus the constant of integration C.

Step-by-step method

  1. Identify the constant k.
  2. Write the constant rule for integration.
  3. Multiply the constant by x and add the constant of integration C.

Formula:

\(\int k\, dx = kx + C\)

Example 1:

\(\int 7\, dx\)

Step 1 - Identify the constant k.

In this problem: The constant is \(k = 7\).

\(\int 7\, dx\)

Step 2 - Write the constant rule for integration.

In this problem: The integral of a constant is the constant times x.

\(\int k\, dx = kx + C\)

Step 3 - Multiply the constant by x and add the constant of integration C.

In this problem: The antiderivative is \(7 x\).

\(\int 7\, dx = 7 x + C\)

Final answer:

\(\int 7\, dx = 7 x + C\)

Example 2:

\(\int -3\, dx\)

Step 1 - Identify the constant k.

In this problem: The constant is \(k = -3\).

\(\int -3\, dx\)

Step 2 - Write the constant rule for integration.

In this problem: The integral of a constant is the constant times x.

\(\int k\, dx = kx + C\)

Step 3 - Multiply the constant by x and add the constant of integration C.

In this problem: The antiderivative is \(- 3 x\).

\(\int -3\, dx = - 3 x + C\)

Final answer:

\(\int -3\, dx = - 3 x + C\)