integral x 2 ln x 2 1

integral x 2 ln x 2 1 Free Online Integral Calculator allows you to solve definite and indefinite integration problems Answers graphs alternate forms Powered by Wolfram Alpha

Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph Integral Calculator Step 1 Enter the function you want to integrate into the editor The Integral Calculator solves an indefinite integral of a function You can also get a better visual and understanding of the function and area under the curve using our graphing tool

integral x 2 ln x 2 1

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Integrals ForYou 123K subscribers 214 26K views 4 years ago Integral of the day follow integralsforyou on Instagram Integral of x ln x 2 1 How to integrate it step by Function to integrate Correct syntax is Incorrect syntax is 2x 1 6 2x 1 6 2x 1 6 frac 10x 1 x 2 4 10x 1 x 2 4 10x 1 x 2 4 left ln x right 2 ln x 2 ln 2 x x ln left frac x 1 x 1 right x ln x 1 x 1 x ln x 1 x 1

12 How to evaluate ln x2 1 x2 1 dx Maybe we can evaluate it using the well known result 20lnsintdt 20lncostdt 2ln2 But how do I evaluate it using that calculus integration Share Cite edited Jul 31 2012 at 12 56 J M ain t a mathematician 75 1k 8 210 340 asked Jul 31 2012 at 12 50 Frank 2 738 1 21 32 Integrate ln x 2 1 Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music

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Your integration by parts in the beginning is correct Truly ln x2 1 dx x ln x2 1 2x2 x2 1 dx Now handling the second integral first of all let s factor out the constant and write x2 as x2 1 1 to split it up 2x2 x2 1 dx 2 x2 x2 1 dx x2 1 x2 1 1 x2 1 dx Let I alpha int 0 infty frac ln alpha x 2 1 x 2 1 dx Then begin eqnarray I alpha int 0 infty frac x 2 alpha x 2 1 x 2 1 dx int 0 infty left frac 1 alpha 1 frac 1 alpha x 2 1 frac 1 alpha 1 frac 1 x 2 1 right dx frac 1 alpha 1 frac 1 sqrt alpha frac pi 2 frac 1

Ln x 2 1 Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals 1 Answer Steve M Apr 28 2018 lnx x2 dx 1 lnx x C Explanation We seek I lnx x2 dx We can then apply Integration By Parts Let u lnx du dx 1 x dv dx 1 x2 v 1 x Then plugging into the IBP formula u dv dx dx u v v du dx dx We have lnx 1 x2 dx lnx 1 x 1 x 1 x dx

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integral x 2 ln x 2 1 - Integrals ForYou 123K subscribers 214 26K views 4 years ago Integral of the day follow integralsforyou on Instagram Integral of x ln x 2 1 How to integrate it step by