What Is the Integral of Cos 2x?


Quick Answer

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.

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Full Answer

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.

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