x-6-ln-2-x-e-2-1-dx-5-96-3-1-5-77-3840-7-11-1920-1-47-1-Anyone-pls-prove-with-full-understandable-solution-Thank

Question Number 228329 by Danmola last updated on 07/Apr/26

$$\int\frac{{x}^{\mathrm{6}} {ln}^{\mathrm{2}} \left({x}\right)}{\left({e}^{\mathrm{2} } −\mathrm{1}\right)\left( \right.}\:{dx} \frac{\mathrm{5}}{\mathrm{96}}\:\frac{\zeta\left(\mathrm{3}\right)}{ }\:+\frac{\mathrm{1}}{ }\:\frac{\zeta\left(\mathrm{5}\right)}{ }\:−\frac{\mathrm{77}}{\mathrm{3840}}\:\frac{\zeta\left(\mathrm{7}\right)}{ }\:−\frac{\mathrm{11}}{\mathrm{1920}}\:\frac{\mathrm{1}}{ }\:−\frac{\mathrm{47}}{ }\:\frac{\mathrm{1}}{ }\: \\ $$$$ \\ $$$$\:\:{Anyone}\:{pls}\:{prove}\:{with}\:{full}\:{understandable}\:{solution}.\:{Thank}\:{u} \\ $$

Commented by TonyCWX last updated on 07/Apr/26

$$\mathrm{Looks}\:\mathrm{funky}… \\ $$$$ \\ $$$$\mathrm{First}\:\mathrm{time}\:\mathrm{using}\:\mathrm{this}\:\mathrm{app}? \\ $$

Commented by Danmola last updated on 08/Apr/26

$$\boldsymbol{{P}}{rovided}\:{it}\:{is}\:{understadable}\:{and}\:{readable}..{the}\:{way}\:{i}\:{chose}\:{to}\:{write}\:{doesnt}\:{matter} \\ $$$$ \\ $$

Commented by TonyCWX last updated on 08/Apr/26

$$\mathrm{Hope}\:\mathrm{so}.\:\mathrm{XD} \\ $$

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