What Is The Antiderivative Of Ln X - Web learn how to find the antiderivative of the natural log of x using integration by parts with this video tutorial and transcript. Knowing the power rule of differentiation, we conclude that f (x)=x^2 f (x) = x2 is an antiderivative of f f since f^ {\prime} (x)=2x f ′(x) = 2x. The set of all antiderivatives of a function is the indefinite integral of the function. Consider the function f (x)=2x f (x) = 2x. See the comments from other viewers and the questions they ask. Web thus, f (x) = ln | x | f (x) = ln | x | is an antiderivative of 1 x. All of these antiderivatives can be verified by differentiating. Therefore, every antiderivative of 1 x 1 x is of the form ln | x | + c ln | x | + c for some constant c c and every function of the form ln | x | + c ln | x | + c is an antiderivative of 1 x. F^ {\prime} (x)=f (x) f ′(x) = f (x) for all x x in the domain of f f. A function f f is an antiderivative of the function f f if.
See the comments from other viewers and the questions they ask. Web thus, f (x) = ln | x | f (x) = ln | x | is an antiderivative of 1 x. Knowing the power rule of differentiation, we conclude that f (x)=x^2 f (x) = x2 is an antiderivative of f f since f^ {\prime} (x)=2x f ′(x) = 2x. A function f f is an antiderivative of the function f f if. Therefore, every antiderivative of 1 x 1 x is of the form ln | x | + c ln | x | + c for some constant c c and every function of the form ln | x | + c ln | x | + c is an antiderivative of 1 x. Is integral the same as antiderivative? The set of all antiderivatives of a function is the indefinite integral of the function. F^ {\prime} (x)=f (x) f ′(x) = f (x) for all x x in the domain of f f. Consider the function f (x)=2x f (x) = 2x. Web an antiderivative of function f(x) is a function whose derivative is equal to f(x). Web learn how to find the antiderivative of the natural log of x using integration by parts with this video tutorial and transcript. All of these antiderivatives can be verified by differentiating.