calculate-4-2-cot-x-dx-

Question Number 207352 by NasaSara last updated on 12/May/24

c a l c u l a t e :

\int_{\frac{Π}{4}}^{\frac{Π}{2}} ⌊ c o t (x) ⌋ d x

Commented by NasaSara last updated on 12/May/24

t h a n k y o u

Commented by Berbere last updated on 12/May/24

w i t h e P l e a s u r

Commented by Berbere last updated on 12/May/24

0 ⩽ c o t (x) < 1; \forall x \in] \frac{π}{4}; \frac{π}{2}] \Rightarrow [c o t (x)] = 0

\int_{\frac{π}{4}}^{\frac{π}{2}} [c o t (x)] d x = 0

Answered by MM42 last updated on 12/May/24

\frac{π}{4} < x < \frac{π}{2} \Rightarrow 0 < c o t x < 1 \Rightarrow ⌊ c o t x ⌋ = 0

\Rightarrow I = 0 ✓

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