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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > What is the integration process of e^x/(1+x)
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What is the integration process of e^x/(1+x)

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such question is solved by using by parts but in this question by parts will not work in fact this not integrable
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Master of Physics & have excellent skills of Mathematics problem solving

Use LIATE (Logarithmic-Inverse-Algebric- Trignometruc-Expoential Sequence) with u/v rule
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e^x/x+1
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M.Tech from IIT Bombay(Expert maths Faculty)

Apply ILATE rules (standing for Inverse trigonometric, Logarithmic, Algebraic, Trigonometric, Exponential), Integration by parts.
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Maths Solution

Integration by parts....assuming (e^x ) 2nd function and 1/(1+x) ist function
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to solve such type problem, you have to use this method ,if both the functions are directly integrable ,then the first function is chosen in such a way that the derivative of the function thus obtained under integral sign is easily integrable . while doing this if you find this question in the form...
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to solve such type problem, you have to use this method ,if both the functions are directly integrable ,then the first function is chosen in such a way that the derivative of the function thus obtained under integral sign is easily integrable . while doing this if you find this question in the form of the such function sinx/x, cosx/x ,1/logx , rootsinx , sin(x square ) exp.(x square) exp.(-x square) ,xtanx , and few more ..however these functions are differentiable but integration can not be found read less
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Master of Physics & have excellent skills of Mathematics problem solving

You can also solve it using theorem of integration e^x(f(x)+f'(x)).
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I think that in this case, we have to apply two cases first one ILATE which is well known and second one you can apply by parts but so lengthy.
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both the functions are continuous functions so consider let I=integ function then apply by parts formula
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both the functions are continuous functions so consider let I=integ function then apply by parts formula
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