Integration – Page 172

Question-122867

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Question Number 122867 by bemath last updated on 20/Nov/20 Answered by som(math1967) last updated on 20/Nov/20 $I = \underset{0}{\int^{\frac{π}{2}}} \frac{\sqrt{cosx} dx}{\sqrt{cosx} + \sqrt{sinx}}$ $again I = \underset{0}{\int^{\frac{π}{2}}} \frac{\sqrt{\cos (\frac{π}{2} - x)} dx}{\sqrt{\cos (\frac{π}{2} - x)} + \sqrt{\sin (\frac{π}{2} - x)}}$ $$=\underset{\mathrm{0}}…

calculate-0-pi-2-ln-1-sinx-sinx-dx-

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Question Number 57325 by turbo msup by abdo last updated on 02/Apr/19 $c a l c u l a t e \int_{0}^{\frac{π}{2}} \frac{l n (1 + s i n x)}{s i n x} d x$ Commented by Abdo msup. last updated on 05/Apr/19…

we-want-to-find-the-vslue-of-I-0-1-ln-1-x-1-x-2-dx-let-A-W-x-1-x-2-1-xy-dxdy-with-W-0-1-2-calculate-A-by-two-method-and-conclude-the-value-of-I-

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Question Number 57324 by turbo msup by abdo last updated on 02/Apr/19 $w e w a n t t o f i n d t h e v s l u e o f$ $I = \int_{0}^{1} \frac{l n (1 + x)}{1 + x^{2}} d x l e t$ $A = \int \int_{W} \frac{x}{(1 + x^{2}) (1 + x y)} d x d y$ $${with}\:{W}=\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} \…

calculate-D-x-y-3-x-2-y-2-dxdy-with-D-x-y-R-2-x-2-y-2-2-and-x-0-y-0-

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Question Number 57323 by turbo msup by abdo last updated on 02/Apr/19 $c a l c u l a t e \int \int_{D} \frac{x + y}{3 + \sqrt{x^{2} + y^{2}}} d x d y$ $w i t h D = {(x, y) \in R^{2} / x^{2} + y^{2} ⩽ 2$ $a n d x ⩾ 0, y ⩾ 0}$ …

calculate-D-x-y-x-2-y-2-dxdy-with-D-x-y-R-2-x-2-y-2-2-and-x-0-

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Question Number 57321 by turbo msup by abdo last updated on 02/Apr/19 $c a l c u l a t e \int \int_{D} (x - y) \sqrt{x^{2} + y^{2}} d x d y$ $w i t h D = {(x, y) \in R^{2} / x^{2} + y^{2} ⩽ 2 a n d x ⩾ 0}$ Commented by…

calculate-D-xy-e-x-2-y-2-dxdy-with-D-x-y-R-2-0-x-2-and-1-y-3-

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Question Number 57320 by turbo msup by abdo last updated on 02/Apr/19 $c a l c u l a t e \int \int_{D} x y e^{- x^{2} - y^{2}} d x d y$ $w i t h D = {(x, y) \in R^{2} / 0 ⩽ x ⩽ 2 a n d$ $1 ⩽ y ⩽ 3}$ Commented…

Question-122853

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Question Number 122853 by rs4089 last updated on 20/Nov/20 Commented by Dwaipayan Shikari last updated on 20/Nov/20 $y △ y △^{2} y$ $2$ $3$ $$\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}…

calculate-D-e-x-y-dxdy-with-D-x-y-R-2-x-lt-1-and-0-y-1-

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Question Number 57319 by turbo msup by abdo last updated on 02/Apr/19 $c a l c u l a t e \int \int_{D} e^{x - y} d x d y$ $w i t h D = {(x, y) \in R^{2} / ∣ x ∣< 1 a n d 0 ⩽ y ⩽ 1}$ Commented by maxmathsup by imad…

if-0-e-ax-dx-1-a-show-that-0-e-ax-x-n-dx-n-a-n-1-

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Question Number 188384 by universe last updated on 28/Feb/23 $if \int_{0}^{\infty} e^{- a x} d x = \frac{1}{a}$ $s h o w t h a t \int_{0}^{\infty} e^{- a x} x^{n} d x = \frac{n!}{a^{n + 1}}$ Answered…

Advanced-calculus-Find-the-value-of-the-following-series-n-1-1-n-n-n-2-n-z-n-1-1-n-z-

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Question Number 188381 by mnjuly1970 last updated on 28/Feb/23 $Advanced calculus$ $Find the value of the following series .$ $$\:\:\:\:\:\:\:\:\:\Omega\:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\:\left(−\mathrm{1}\right)^{\:{n}} \:\zeta\:\left(\:{n}\:\right)}{{n}.\:\mathrm{2}^{\:{n}} }\:=\:? \…

Category: Integration