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integral of arctan (x^2) Natural Language. Math Input. Extended Keyboard. Upload. Indefinite integral. Approximate form. Step-by-step solution. Plots of the integral. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.
Solution steps. ∫arctan(x2)dx. Apply Integration By Parts:xarctan(x2)−∫x4+12x2dx. =xarctan(x2)−∫x4+12x2dx. ∫x4+12x2dx=2(−421(ln2x2+22x+2−2arctan(2x+1))+421(ln2x2−22x+2+2arctan(2x−1))) =xarctan(x2)−2(−421(ln2x2+22x+2−2arctan(2x+1))+421(ln2x2−22x+2+2arctan(2x−1))) Add a constant to the ...
24 kwi 2019 · I was wondering how you integrate $\arctan^2(x)$. I tried doing it by parts and allowing $u=\arctan(x)$ and $\frac{\mathrm dv}{\mathrm dx}=\arctan(x)$ . But from then it becomes complicated, I was wondering if there was alternative method, or different way of approaching the question.
As already mentioned in the comments, the indefinite integral cannot be expressed in terms of elementary functions. However, on $ [0,1]$ the result is $\dfrac\pi4\bigg (\dfrac\pi4+\ln2\bigg)-\text {Catalan}$. See also polylogarithms and Catalan's constant.
Free Online Integral Calculator allows you to solve definite and indefinite integration problems. Answers, graphs, alternate forms. Powered by Wolfram|Alpha.
The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration).
