0-3-2-E-x-2-dx-avec-E-x-la-partie-entiere-

Question Number 155017 by SANOGO last updated on 24/Sep/21

\int_{0}^{\frac{3}{2}} E (x^{2}) d x; a v e c E (x) l a p a r t i e e n t i e r e

Answered by puissant last updated on 24/Sep/21

K = \int_{0}^{\frac{3}{2}} E (x^{2}) d x

= \int_{0}^{1} E (x^{2}) d x + \int_{1}^{\sqrt{2}} E (x^{2}) d x + \int_{\sqrt{2}}^{\frac{3}{2}} E (x^{2}) d x

= 0 (1 - 0) + 1 (\sqrt{2} - 1) + 2 (\frac{3}{2} - \sqrt{2})

= 0 + \sqrt{2} - 1 + 3 - 2 \sqrt{2} = 2 - \sqrt{2} . .

∴∵ K = \int_{0}^{\frac{3}{2}} E (x^{2}) d x = 2 - \sqrt{2} . .

Commented by SANOGO last updated on 24/Sep/21

m e r c i b i e n c o u r a g e

Commented by puissant last updated on 24/Sep/21

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Commented by tabata last updated on 25/Sep/21

s i r h o w y o u g i v e t h e i n t e r v a l i n t h i s f o r m

c a n y o u g i v e m e t h e f o r m u l l a o f E (x) ?

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