integrate ln x 2 1 dx Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
How do you integrate ln x2 1 dx Calculus Techniques of Integration Integration by Parts 1 Answer Eddie Jul 31 2016 xln x2 1 2x ln x 1 x 1 C Explanation The integral calculator allows you to enter your problem and complete the integration to see the result You can also get a better visual and understanding of the function and area under the
integrate ln x 2 1 dx
integrate ln x 2 1 dx
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int ln x 2 1 dx x ln x 2 1 int frac 2x 2 x 2 1 I integrate 2 int frac x 2 x 2 1 separately using substitution Let u x 2 1 dx frac 1 2x du The integral of ln x 2 1 is eq xln x 2 1 2x ln left frac x 1 x 1 right C eq where C is any constant We can evaluate this integral See full
Alternatively to Ragib s substitution you could consider I s int mathbb R left 1 x 2 right s mathrm d x and then evaluate I prime 1 Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history
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Example 8 i Find The Integral Dx X 2 16 Teachoo
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v prime 1 Rightarrow v x and u ln 2x 1 Rightarrow u prime frac 2 2x 1 Therefore int ln 2x 1 dx x ln 2x 1 int frac 2x 2x 1 dx Then make the Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
D dx log 2 x 1 solve y x log 2 x 1 series of log 2 x 1 at x 0 int 1 log 2 x 1 dx d 2 dx 2 log 2 x 1 How do you integrate x ln x 1 dx Calculus Techniques of Integration Integration by Parts 1 Answer Eddie Jul 12 2016 x2 1 2 ln x 1 1 4x x 2 C
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