An indefinite integral is a version of an integral that, unlike a definite integral, returns an expression instead of a number.
The general form of a definite integral is:
∫ba f(x) dx.
The general form of an indefinite integral is:
∫ f(x) dx.
An example of a definite integral is:
∫20 x2 dx.
An example of an indefinite integral is:
∫ x2 dx
In the definite case, the answer is 23/3 - 03/3 = 8/3.
In the indefinite case, the answer is x3/3 + C, where C is an arbitrary constant.
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
The antiderivative, or indefinite integral, of ex, is ex + C.
if you are integrating with respect to x, the indefinite integral of 1 is just x
With respect to x, this integral is (-15/2) cos2x + C.
An indefinite integral has an arbitrary constant. The arbitrariness ensures that the integral of any function has infinitely many values.
The indefinite integral of sin 2x is -cos 2x / 2 + C, where C is any constant.
There can be no definite integral because the limits of integration are not specified. The indefinite integral of 1/x2 is -1/x + C
The definite integral of any function identically equal to zero between any two points is zero. Integral is the area under the graph of the given function. Sometimes the terms "integral" or "indefinite integral" are used to refer to the general antiderivative of a function, especially in many textbooks. In this case, the indefinite integral is equal to an arbitrary constant, and it is important to distinguish between these two cases.
The indefinite integral of (1/x^2)*dx is -1/x+C.
Better call it Li2(x).
The indefinite integral of x dt is xt
The indefinite integral of sin x is equal to -cos x + C.