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Question Number 186170 by normans last updated on 01/Feb/23

        ∫_(−2) ^2     ((tan^(−1)  ( 2 − cos (x))    )/(2 + x^2 ))  dx

$$ \\ $$$$\:\:\:\:\:\:\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\:\:\:\:\frac{\boldsymbol{{tan}}^{−\mathrm{1}} \:\left(\:\mathrm{2}\:−\:\boldsymbol{{cos}}\:\left(\boldsymbol{{x}}\right)\right)\:\:\:\:}{\mathrm{2}\:+\:\boldsymbol{{x}}^{\mathrm{2}} }\:\:\boldsymbol{{dx}} \\ $$$$ \\ $$

Answered by MJS_new last updated on 02/Feb/23

≈1.25421965237

$$\approx\mathrm{1}.\mathrm{25421965237} \\ $$

Commented by normans last updated on 02/Feb/23

how did you that??

$$\boldsymbol{{how}}\:\boldsymbol{{did}}\:\boldsymbol{{you}}\:\boldsymbol{{that}}?? \\ $$

Commented by MJS_new last updated on 02/Feb/23

how would you do it?

$$\mathrm{how}\:\mathrm{would}\:\mathrm{you}\:\mathrm{do}\:\mathrm{it}? \\ $$

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