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Question Number 101402 Answers: 0 Comments: 3

I desire the developmenter of this apps improve adding some other functions like as:choose whole text by tap in text or choose some line at one time has many colours more

$$\mathrm{I}\:\mathrm{desire}\:\mathrm{the}\:\mathrm{developmenter}\:\mathrm{of}\:\mathrm{this}\:\mathrm{apps} \\ $$$$\mathrm{improve}\:\mathrm{adding}\:\mathrm{some}\:\mathrm{other}\:\mathrm{functions} \\ $$$$\mathrm{like}\:\mathrm{as}:\mathrm{choose}\:\mathrm{whole}\:\mathrm{text}\:\mathrm{by}\:\mathrm{tap}\:\mathrm{in} \\ $$$$\mathrm{text}\:\mathrm{or}\:\mathrm{choose}\:\mathrm{some}\:\mathrm{line}\:\mathrm{at}\:\mathrm{one}\:\mathrm{time} \\ $$$$\mathrm{has}\:\mathrm{many}\:\mathrm{colours}\:\mathrm{more} \\ $$

Question Number 101330 Answers: 0 Comments: 5

Evaluate. ∫_(−π) ^π x^9 cos x dx

$${Evaluate}. \\ $$$$\int_{−\pi} ^{\pi} {x}^{\mathrm{9}} \mathrm{cos}\:{x}\:{dx} \\ $$

Question Number 101329 Answers: 1 Comments: 0

Question Number 101328 Answers: 0 Comments: 1

this i a beautifull old question in the forum by sir.Ali Esam i Reposted it trying to find any idea to solve I=∫_(−1) ^1 (((sin(x))/(sinh^(−1) (x))))(((sin^(−1) (x))/(sinh(x))))dx i solved it numerical the value is 2.03383

$${this}\:{i}\:{a}\:{beautifull}\:{old}\:{question}\:{in}\:{the}\:{forum} \\ $$$${by}\:{sir}.{Ali}\:{Esam}\:{i}\:{Reposted}\:{it}\:{trying}\:{to} \\ $$$${find}\:{any}\:{idea}\:{to}\:{solve} \\ $$$$ \\ $$$${I}=\int_{−\mathrm{1}} ^{\mathrm{1}} \left(\frac{{sin}\left({x}\right)}{{sinh}^{−\mathrm{1}} \left({x}\right)}\right)\left(\frac{{sin}^{−\mathrm{1}} \left({x}\right)}{{sinh}\left({x}\right)}\right){dx} \\ $$$$ \\ $$$${i}\:{solved}\:{it}\:{numerical}\: \\ $$$${the}\:{value}\:{is}\:\mathrm{2}.\mathrm{03383} \\ $$

Question Number 101319 Answers: 1 Comments: 4

find the area bounded the parabola y=4x^2 and y=8−4x^2 ? by using intigral? help me

$${find}\:{the}\:{area}\:{bounded}\:{the}\:{parabola}\: \\ $$$${y}=\mathrm{4}{x}^{\mathrm{2}} \:\:\:{and}\:\:{y}=\mathrm{8}−\mathrm{4}{x}^{\mathrm{2}} \:\:?\:\:{by}\:{using}\:{intigral}? \\ $$$${help}\:{me} \\ $$

Question Number 101273 Answers: 0 Comments: 0

caoculate lim_(x→0) ((sh(sin(2x))−sin(sh(2x)))/x^3 )

$$\mathrm{caoculate}\:\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{0}} \:\:\:\frac{\mathrm{sh}\left(\mathrm{sin}\left(\mathrm{2x}\right)\right)−\mathrm{sin}\left(\mathrm{sh}\left(\mathrm{2x}\right)\right)}{\mathrm{x}^{\mathrm{3}} } \\ $$

Question Number 101272 Answers: 1 Comments: 2

∫(√(sec x)) dx

$$\int\sqrt{\mathrm{sec}\:{x}}\:{dx}\: \\ $$

Question Number 101271 Answers: 0 Comments: 2

find ∫ ((xdx)/((√(x^2 +x+1))+(√(x^2 −x+1))))

$$\mathrm{find}\:\int\:\:\:\frac{\mathrm{xdx}}{\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}}+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{1}}} \\ $$

Question Number 101270 Answers: 0 Comments: 0

calculate ∫_1 ^(+∞) (dx/(x^2 (x+1)^2 (x+2)^2 (x+3)^2 ))

$$\mathrm{calculate}\:\int_{\mathrm{1}} ^{+\infty} \:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}} \left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} \left(\mathrm{x}+\mathrm{3}\right)^{\mathrm{2}} } \\ $$

Question Number 101269 Answers: 1 Comments: 0

calculate ∫_4 ^(+∞) (dx/((x−2)^5 (x+3)^7 ))

$$\mathrm{calculate}\:\int_{\mathrm{4}} ^{+\infty} \:\:\:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{5}} \left(\mathrm{x}+\mathrm{3}\right)^{\mathrm{7}} } \\ $$

Question Number 101268 Answers: 1 Comments: 0

calculate ∫_(−∞) ^∞ ((cos(arctan(2x+1)))/(x^2 +2x+2))dx

$$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\frac{\mathrm{cos}\left(\mathrm{arctan}\left(\mathrm{2x}+\mathrm{1}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{2x}+\mathrm{2}}\mathrm{dx} \\ $$

Question Number 101266 Answers: 0 Comments: 0

calculate ∫_1 ^(+∞) (dx/(x^2 (x+1)^3 (x+2)^4 ))

$$\mathrm{calculate}\:\:\int_{\mathrm{1}} ^{+\infty} \:\:\:\:\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{2}} \left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{3}} \left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{4}} } \\ $$

Question Number 101286 Answers: 0 Comments: 3

∫(((x^m −x^n )^2 )/(√x))dx=?

$$\int\frac{\left(\mathrm{x}^{\mathrm{m}} −\mathrm{x}^{\mathrm{n}} \right)^{\mathrm{2}} }{\sqrt{\mathrm{x}}}\mathrm{dx}=? \\ $$

Question Number 101258 Answers: 2 Comments: 2

minimum value f(x,y)=x^2 +y^2 with constrain g(x,y)= x^2 y−16

$$\mathrm{minimum}\:\mathrm{value}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)=\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{with}\:\mathrm{constrain}\:\mathrm{g}\left(\mathrm{x},\mathrm{y}\right)=\:\mathrm{x}^{\mathrm{2}} \mathrm{y}−\mathrm{16} \\ $$

Question Number 101252 Answers: 0 Comments: 1

(√(1+2(√(1+4(√(1+5(√(1+6(√(1+7(√(1+8..))))))))))))∞=?

$$\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{\mathrm{1}+\mathrm{5}\sqrt{\mathrm{1}+\mathrm{6}\sqrt{\mathrm{1}+\mathrm{7}\sqrt{\mathrm{1}+\mathrm{8}..}}}}}}\infty=? \\ $$

Question Number 101250 Answers: 0 Comments: 0

Question Number 101249 Answers: 0 Comments: 8

As request by many users earlier, ability to convert written equations to plain text is now available. Plain text may be useful when you need to enter question content on internet sites. Standard convention for limits and power are used during processing and sites so one liner integral, summation, limits derviates should be directly usable. You might need do some small editing depending upon app used. Parser is implemented on server.

$$\mathrm{As}\:\mathrm{request}\:\mathrm{by}\:\mathrm{many}\:\mathrm{users}\:\mathrm{earlier}, \\ $$$$\mathrm{ability}\:\mathrm{to}\:\mathrm{convert}\:\mathrm{written}\:\mathrm{equations} \\ $$$$\mathrm{to}\:\mathrm{plain}\:\mathrm{text}\:\mathrm{is}\:\mathrm{now}\:\mathrm{available}. \\ $$$$\mathrm{Plain}\:\mathrm{text}\:\mathrm{may}\:\mathrm{be}\:\mathrm{useful}\:\mathrm{when}\:\mathrm{you} \\ $$$$\mathrm{need}\:\mathrm{to}\:\mathrm{enter}\:\mathrm{question}\:\mathrm{content} \\ $$$$\mathrm{on}\:\mathrm{internet}\:\mathrm{sites}. \\ $$$$\mathrm{Standard}\:\mathrm{convention}\:\mathrm{for}\:\mathrm{limits} \\ $$$$\mathrm{and}\:\mathrm{power}\:\mathrm{are}\:\mathrm{used}\:\mathrm{during}\:\mathrm{processing} \\ $$$$\mathrm{and}\:\mathrm{sites}\:\mathrm{so}\:\mathrm{one}\:\mathrm{liner}\:\mathrm{integral}, \\ $$$$\mathrm{summation},\:\mathrm{limits}\:\mathrm{derviates}\:\mathrm{should} \\ $$$$\mathrm{be}\:\mathrm{directly}\:\mathrm{usable}.\:\mathrm{You}\:\mathrm{might} \\ $$$$\mathrm{need}\:\mathrm{do}\:\mathrm{some}\:\mathrm{small}\:\mathrm{editing} \\ $$$$\mathrm{depending}\:\mathrm{upon}\:\mathrm{app}\:\mathrm{used}. \\ $$$$\boldsymbol{\mathrm{Parser}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{implemented}}\:\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{server}}. \\ $$

Question Number 101248 Answers: 0 Comments: 0

Π_(p∈P/(2..3)) ((1/p))^2 =? p is prime number Any help ?

$$\:\:\:\underset{\boldsymbol{{p}}\in\boldsymbol{{P}}/\left(\mathrm{2}..\mathrm{3}\right)} {\prod}\left(\frac{\mathrm{1}}{\boldsymbol{{p}}}\right)^{\mathrm{2}} =?\:\:\:\:\:\boldsymbol{{p}}\:{is}\:{prime}\:{number} \\ $$$${Any}\:{help}\:? \\ $$

Question Number 101247 Answers: 1 Comments: 0

Question Number 101243 Answers: 0 Comments: 3

Find the solution xa^(1/x) +(1/x)a^x =2a a∈{−1,0,1} and also find when a is not given

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$$$\:\:\mathrm{xa}^{\frac{\mathrm{1}}{\mathrm{x}}} +\frac{\mathrm{1}}{\mathrm{x}}\mathrm{a}^{\mathrm{x}} =\mathrm{2a}\:\:\:\mathrm{a}\in\left\{−\mathrm{1},\mathrm{0},\mathrm{1}\right\}\:\:\:{and}\:{also}\:{find}\:{when}\:{a}\:\:{is}\:{not}\:{given} \\ $$

Question Number 101307 Answers: 0 Comments: 5

Some comments with inapproriate language were deleted. Kindly refrain from posting abusive comments. Forum has been around for a long time without these occurrences. Every new user, please scroll through the previous posts and abide by the established conventions followed by everyone else.

$$\mathrm{Some}\:\mathrm{comments}\:\mathrm{with}\:\mathrm{inapproriate} \\ $$$$\mathrm{language}\:\mathrm{were}\:\mathrm{deleted}. \\ $$$$\mathrm{Kindly}\:\mathrm{refrain}\:\mathrm{from}\:\mathrm{posting}\:\mathrm{abusive} \\ $$$$\mathrm{comments}.\:\mathrm{Forum}\:\mathrm{has}\:\mathrm{been}\:\mathrm{around} \\ $$$$\mathrm{for}\:\mathrm{a}\:\mathrm{long}\:\mathrm{time}\:\mathrm{without}\:\mathrm{these} \\ $$$$\mathrm{occurrences}. \\ $$$$\mathrm{Every}\:\mathrm{new}\:\mathrm{user},\:\mathrm{please}\:\mathrm{scroll}\:\mathrm{through} \\ $$$$\mathrm{the}\:\mathrm{previous}\:\mathrm{posts}\:\mathrm{and}\:\mathrm{abide}\:\mathrm{by}\:\mathrm{the}\: \\ $$$$\mathrm{established}\:\mathrm{conventions}\:\mathrm{followed}\:\mathrm{by}\: \\ $$$$\mathrm{everyone}\:\mathrm{else}. \\ $$

Question Number 101239 Answers: 1 Comments: 0

lim_(x→∞) (((1+(1/2)+(1/3)+......+(1/n))/(1+(1/3)+(1/5)......+(1/(2n+1)))))

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+......+\frac{\mathrm{1}}{{n}}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}......+\frac{\mathrm{1}}{\mathrm{2}{n}+\mathrm{1}}}\right) \\ $$

Question Number 101234 Answers: 0 Comments: 0

Show that the greatest integer function is Riemann integrable within all segments of R

$$\mathcal{S}\mathrm{how}\:\mathrm{that}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{function}\:\mathrm{is}\:\mathrm{Riemann} \\ $$$$\mathrm{integrable}\:\mathrm{within}\:\mathrm{all}\:\mathrm{segments}\:\mathrm{of}\:\mathbb{R} \\ $$

Question Number 101231 Answers: 1 Comments: 1

Question Number 101225 Answers: 0 Comments: 4

Question Number 101220 Answers: 1 Comments: 0

∫∫_D (√(x^2 +y^2 ))dxdy D= { (((x,y)∈R, x^2 +y^2 ≥2y, x^2 +y^2 ≤1)),((x≥0 , y≥0)) :}

$$\int\int_{\mathrm{D}} \sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} }\mathrm{dxdy}\:\:\:\mathcal{D}=\begin{cases}{\left(\mathrm{x},\mathrm{y}\right)\in\mathbb{R},\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \geqslant\mathrm{2y},\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \leqslant\mathrm{1}}\\{\mathrm{x}\geqslant\mathrm{0}\:,\:\mathrm{y}\geqslant\mathrm{0}}\end{cases} \\ $$

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