Calculus • Step-by-Step

Integral of cos(x) dx with Steps

Step-by-step antiderivative of cos(x) dx. Explains the basic trigonometric integration rule, proving that ∫ cos(x) dx = sin(x) + C with full steps.

Problem Statement

\int \cos(x) \, dx

Final Result

F(x) = \mathrm{sin}\left(x\right) + C

Formula Required: Cosine Integration Rule

Since d/dx[sin(x)] = cos(x), integrating cosine gives positive sine.

\int \cos(x) \, dx = \sin(x) + C

2 Steps

Set up the indefinite integral with respect to variable $x$.

\int \left( \mathrm{cos}\left(x\right) \right) \, dx

Apply the Cosine Integration to find the antiderivative.

F(x) = \mathrm{sin}\left(x\right)

Interactive Calculator

Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The integral of cos(x) is sin(x) + C.