what is the integral of ln3x How do you integrate displaystyle int ln left x 3 right by integration by parts method
Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography Find the integral of log e left 3 right using the table of common integrals rule int a mathrm d x ax
what is the integral of ln3x
what is the integral of ln3x
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What Is The Integral Of Ln x x Epsilonify
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Integral Of lnx 2 YouTube
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Detail solution There are multiple ways to do this integral Method 1 Let u 3 x u 3x Then let du 3 dx du 3dx and substitute frac du 3 3du int frac log left u right 3 Definite integral More digits Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition
Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph Evaluate the Integral integral of natural log of 3x with respect to x ln 3x dx ln 3 x d x Integrate by parts using the formula udv uv vdu u d v u v v d u where u ln 3x u
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Strategy Use Integration by Parts ln x dx set u ln x dv dx then we find du 1 x dx v x substitute ln x dx u dv and use integration by parts uv v du substitute u ln x v x and The integral of ln 3x is xln 3x x C Detailed step by step solution for What is the integral of ln 3x
There is a classical trick to find int ln x dx if you don t have any idea to test x ln x x an integration by parts The general formula is int u v uv int uv because uv u v This video shows how to find the antiderivative of the natural log of x using integration by parts We rewrite the integral as ln x times 1dx then choose f x ln x and g x 1 The
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what is the integral of ln3x - One way to check the result Since int frac ln 3x x dx frac ln 3x 2 2 C then