integrate x 1 sqrt x 2 x 1 dx Options The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus
Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph 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
integrate x 1 sqrt x 2 x 1 dx
integrate x 1 sqrt x 2 x 1 dx
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Integral Of Sqrt x 1 x substitution YouTube
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Integral Of X sqrt x 1 YouTube
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Because m 1 n p Z I used substitution x 2 1 t2 From there I got dx x3 tdt x 1 t2 1 t 1 x2 x I expanded the original with x4 x4 1 x2dx x4 Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
3 Answers Sorted by 16 I ll restate the accepted answer in different notation which is easier for me to parse let u 1 x2 dv dx so that du x 1 Note that 1 x2 1 4 t2 2 1 t2 1 x 2 1 4 t 2 2 1 t 2 So 1 x2 12 t 1 t 1 x 2 1 2 t 1 t That was the whole point of the substitution it is a
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1 Answer Steve M Nov 5 2017 1 x x2 1 dx arcsecx C Explanation We seek I 1 x x2 1 dx Let us attempt a substitution of the form sec x Then differentiating wrt Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor Maclaurin
integralsforyou Integral of 1 x sqrt x 2 1 How to integrate it step by step using the substitution and the partial fraction decomposit I did the following b a x 1 x2 dx 1 2 b a 2x 1 x2 dx a b x 1 x 2 d x 1 2 a b 2 x 1 x 2 d x Now let x x2 x x 2 Therefore x 1
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integrate x 1 sqrt x 2 x 1 dx - Note that 1 x2 1 4 t2 2 1 t2 1 x 2 1 4 t 2 2 1 t 2 So 1 x2 12 t 1 t 1 x 2 1 2 t 1 t That was the whole point of the substitution it is a