Question Number 109047 by Eric002 last updated on 20/Aug/20
$$\int_{−\mathrm{2}} ^{\infty} \left({x}+\mathrm{2}\right)^{\mathrm{5}} {e}^{−\left({x}+\mathrm{2}\right)} {dx} \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{tan}\left({x}\right)}{{x}}{dx} \\ $$
Answered by Dwaipayan Shikari last updated on 20/Aug/20
$$\int_{\mathrm{0}} ^{\infty} {t}^{\mathrm{5}} {e}^{−{t}} {dt}\:\:\:\:\:\:\:\left({x}+\mathrm{2}\right)={t} \\ $$$$=\Gamma\left(\mathrm{6}\right)=\mathrm{120} \\ $$
Commented by Eric002 last updated on 20/Aug/20
$${thank}\:{you}\: \\ $$