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The antiderivative of ln x is the integral of the natural logarithmic function and is given by x ln x - x + C, where C is the constant of integration. To find the antiderivative of ln x, we need to determine the value of ∫ln x dx, where the integration is with respect to the variable x.
The anti-derivative of 1/x is ln(x)Please visit the following website for an organized layout of all my calculus videos.http://www.svhs.simi.k12.ca.us/cms/pa...
The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported.
4.10.1 Find the general antiderivative of a given function. 4.10.2 Explain the terms and notation used for an indefinite integral. 4.10.3 State the power rule for integrals. 4.10.4 Use antidifferentiation to solve simple initial-value problems.
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10 Νοε 2020 · Thus, \(F(x)=\ln |x|\) is an antiderivative of \(\dfrac{1}{x}\). Therefore, every antiderivative of \(\dfrac{1}{x}\) is of the form \(\ln |x|+C\) for some constant \(C\) and every function of the form \(\ln |x|+C\) is an antiderivative of \(\dfrac{1}{x}\).