Matematika/Lanko ilgis: Skirtumas tarp puslapio versijų
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49 eilutė:
:<math>=\left[7\sqrt{\frac{1}{14}+1}+\frac{1}{4}\ln\left(28\cdot \sqrt{\frac{1}{14}+1} +28+2 \right) \right]-\left[ \sqrt{1.5}+\frac{1}{4}\ln(4 \sqrt{1.5} +6 ) \right]=</math>
:<math>=\left[7\sqrt{\frac{15}{14}}+\frac{1}{4}\ln\left(28\cdot \sqrt{\frac{15}{14}} +30 \right) \right]-\left[ 1.224744871+\frac{1}{4}\ln(4.898979486 +6 ) \right]=</math>
:<math>=7\sqrt{1.071428571}+\frac{1}{4}\ln\left(28\cdot \sqrt{1.071428571} +30 \right)-\left[ 1.224744871+\frac{
:<math>=7\cdot 1.035098339+\frac{1}{4}\ln(28\cdot 1.035098339 +30)-
:<math>=7.245688373+\frac{\ln(28.98275349 +30)}{4}-
:<math>=7.245688373+\frac{4.077245087}{4}-
:<math>=7.245688373+1.019311272-
:Pasinaudojome internetiniu integratoriumi http://integrals.wolfram.com/index.jsp?expr=Sqrt%5B1%2B+1%2F%282x%29%5D+&random=false.
:Patikriname ar tiesės ilgis iš taško <math>M_1(1; \sqrt{2})</math> iki taško <math>M_2(7; \sqrt{14})</math> nėra didesnis:
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