I was wondering whether anyone there could explain how to integrate (e^x)/(1+x^2) by parts. Many Thanks dz
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Not sure how parts will help here Wolfram Mathematica Online Integrator
By parts doesn't seem to work here
This is all wrong Originally Posted by harish21 I used integration by parts this way: Let $\displaystyle u= 1+{x^2} ; v = e^x $ Then $\displaystyle du= 2x dx ; dv = e^x$ So, $\displaystyle uv - \int v.du$ = $\displaystyle (1+{x^2})(e^x) - \int e^x 2x dx$ = $\displaystyle (1+{x^2})(e^x) - 2e^{x}(x-1)$ For parts you need to make one variable u' and the other v in your case Should it not be?? Let $\displaystyle {\color{red}u'= \frac{1}{1+{x^2}}} , v = e^x $ Then $\displaystyle u= \tan^{-1}x , v' = e^x$ Still this will not reduce.
I agree Pickslides. I tried solving this one using a Matematica powered calculator and it gives me a solution with irrational numbers. Yet I sense that this is not right... Here it is:
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