The integral of 2x is the indefinite integral of the function f(x) = 2x. The indefinite integral of a function is the function whose derivative is the original function. In other words, if F(x) is the indefinite integral of f(x), then F'(x) = f(x).The indefinite integral of 2x is x^2 + C, where C is an arbitrary constant. This can be verified by taking the derivative of x^2 + C with respect to x, which gives 2x + 0 = 2x, the original function.
The integral of 2x is a fundamental concept in calculus. It is used to find the area under a curve, the volume of a solid of revolution, and the work done by a force over a distance.The integral of 2x is also used in many applications in physics and engineering. For example, it is used to calculate the velocity of a falling object, the acceleration of a car, and the power output of an engine.
