Q:
# What Is the Integral of Cos 2x?

**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.

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.

Learn more about Trigonometry-
Q:
## What Is the Integral of Tan(x)?

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: -
Q:
## What Is the Integral of Sin^2?

A: The integral of sin^2 is one-half of x, minus one-eighth of the sine of 4x, plus a constant. Using mathematical notation, the integral of sine squared can ... Full Answer >Filed Under: -
Q:
## What Is the Integral of Secx?

A: The integral of sec(x) is the natural log of the absolute value of the secant of x plus the tangent of x, added to a constant. Using mathematical notation,... Full Answer >Filed Under: -
Q:
## What Is the Integral of Sin X 2?

A: The integral of sin (x * 2) is equal to -(1/2) * cos(2x) + C. The integral can be solved using the integration technique known as substitution, which is th... Full Answer >Filed Under: