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Category: Integration

1-1-x-2015-1-x-1-2015-1-x-1-2015-dx-

Question Number 42358 by Tawa1 last updated on 24/Aug/18 $$\int_{\:−\mathrm{1}} ^{\:\mathrm{1}} \:\frac{\mathrm{x}^{\mathrm{2015}} }{\:\sqrt[{\mathrm{2015}}]{\mathrm{1}\:+\:\mathrm{x}}\:\:+\:\:\sqrt[{\mathrm{2015}}]{\mathrm{1}\:−\:\mathrm{x}}\:}\:\:\mathrm{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 24/Aug/18 $$\Upsilon\left({x}\right)=\frac{{x}^{\mathrm{2015}} }{\left(\mathrm{1}+{x}\right)^{\frac{\mathrm{1}}{\mathrm{2015}}} +\left(\mathrm{1}−{x}\right)^{\frac{\mathrm{1}}{\mathrm{2015}}}…

x-sinx-cosx-1-x-e-x-sinx-dx-

Question Number 42364 by Tawa1 last updated on 24/Aug/18 $$\int\:\:\frac{\mathrm{x}\:+\:\mathrm{sinx}\:−\:\mathrm{cosx}\:−\:\mathrm{1}}{\mathrm{x}\:+\:\mathrm{e}^{\mathrm{x}} \:+\:\mathrm{sinx}}\:\mathrm{dx} \\ $$ Commented by maxmathsup by imad last updated on 24/Aug/18 $${I}\:=\:\int\:\frac{{x}+{e}^{{x}} \:+{sinx}\:−{e}^{{x}} −{cosx}\:−\mathrm{1}}{{x}+{e}^{{x}}…