Q:

# What is the integral of cos 2x?

A:

The integral of cos(2x) is 1/2 x sin(2x) + C, where C is equal to a constant. The integral of the function cos(2x) can be determined by using the integration technique known as substitution. In calculus, substitution is derived from the chain rule for differentiation.

## Keep Learning

For any given value, the cos(ax) = 1/2 x sin(ax) + C. For the function cos(2x), a = 2. Using substitution, the value of u can be set to 2x. The derivative of u can be set as du = 2 x dt. Substituting into the equation gives the proper integral function. The integral of a function is known as the antiderivative.

Sources:

## Related Questions

• A: The cosine (cos) of 90 degrees is zero. This value is taken from the unit circle, a commonly used device in mathematics that assigns values to the trigonom... Full Answer >
Filed Under:
• A: The basic trigonometric functions sine, cosine, and tangent give the ratio between two sides of a triangle with a given angle. The inverse trig functions f... Full Answer >
Filed Under:
• A: The pythagorean trigonometric identity can be used to compute cos(θ) when sin(θ) is known. The formula is sin²(θ) + cos²(θ) = 1. Thus, cos(θ) is computed b... Full Answer >
Filed Under:
• A: The integral of tan(x) is -ln |cos x| + C. In this equation, ln indicates the function for a natural logarithm, while cos is the function cosine, and C is ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR