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Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph.
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14 Ιουν 2018 · Using logarithm rules, we get: = ∫2lnx dx. = 2∫lnx dx. This is a common integral, where ∫lnx dx = xlnx − x + C. ∴ = 2xlnx − 2x + C.
26 Απρ 2016 · I'm given $\ln(x^2 + 7)$ in a problem and to solve it I need to get the anti-derivative, but I haven't been able to properly calculate it. Could someone show me how to obtain this anti-derivative? It would be a major help to me.
The antiderivative of ln x square is ∫ [ln x] 2 dx = x [ln x] 2 - 2x ln x + 2x + K, where K is the constant of integration. We can determine this antiderivative using the method of integration by parts ∫u dv = uv − ∫vdu.
Integration is an important tool in calculus that can give an antiderivative or represent area under a curve. The indefinite integral of f (x) f x, denoted Start Integral, Start integrand, f (x) , integrand End,Start first variable, x , first variable End , Integral End f x d x, is defined to be the antiderivative of f (x) f x.
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For a function [latex]f[/latex] and an antiderivative [latex]F[/latex], the functions [latex]F(x)+C[/latex], where [latex]C[/latex] is any real number, is often referred to as the family of antiderivatives of [latex]f[/latex]. For example, since [latex]x^2[/latex] is an antiderivative of [latex]2x[/latex] and any antiderivative of [latex]2x ...