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Question Number 69046    Answers: 0   Comments: 4

Question Number 69045    Answers: 2   Comments: 0

Question Number 69034    Answers: 2   Comments: 0

Question Number 69044    Answers: 1   Comments: 0

1) let f(a) =∫(√(a+tanx))dx with a>0 find a explicit form for f(x) 2) find also g(a) =∫ (dx/(√(a+tanx))) 3)calculate ∫(√(2+tanx))dx and ∫ (dx/(√(2+tanx)))

$$\left.\mathrm{1}\right)\:{let}\:{f}\left({a}\right)\:=\int\sqrt{{a}+{tanx}}{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$${find}\:{a}\:{explicit}\:{form}\:{for}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{also}\:{g}\left({a}\right)\:=\int\:\:\frac{{dx}}{\sqrt{{a}+{tanx}}} \\ $$$$\left.\mathrm{3}\right){calculate}\:\int\sqrt{\mathrm{2}+{tanx}}{dx}\:{and}\:\int\:\:\frac{{dx}}{\sqrt{\mathrm{2}+{tanx}}} \\ $$

Question Number 69027    Answers: 1   Comments: 2

Question Number 69020    Answers: 0   Comments: 1

if z=(2+3i/3−(√(−4)))^(17) by using demover find (z−1)^(−5) pleas sir help me ?

$${if}\:{z}=\left(\mathrm{2}+\mathrm{3}{i}/\mathrm{3}−\sqrt{−\mathrm{4}}\right)^{\mathrm{17}} \:{by}\:{using}\:{demover}\:{find}\:\left({z}−\mathrm{1}\right)^{−\mathrm{5}} \: \\ $$$${pleas}\:{sir}\:{help}\:{me}\:? \\ $$

Question Number 69014    Answers: 1   Comments: 0

a) ∫∣ x^2 +2x + 1∣dx b) ∫_0 ^4 ∣x^2 +3x−2∣dx

$$\left.{a}\right)\:\:\:\int\mid\:{x}^{\mathrm{2}} +\mathrm{2}{x}\:+\:\mathrm{1}\mid{dx} \\ $$$$\left.{b}\right)\:\int_{\mathrm{0}} ^{\mathrm{4}} \mid{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{2}\mid{dx} \\ $$

Question Number 69010    Answers: 0   Comments: 8

To Tinku Tara, The Developer Sir, You′re going to update this, useful in real sense, precious app. Taking advantage of this opportunity I suggest some revolutionary changes if they′re possible for you. •HIDE/UNHIDE DETALS. It′s very useful to hide some details of an answer for authers in order to offer overall view.If the reader wants these details they can unhide these by clicking some symbol(small triangles etc).Can we expect this feature? •HYPERLINK FACILITY. Some posts contain reference to some other questions.Is it possible to make these question numbers hyperlinks in order to reach these questions directly and come back? •REPLACING A SYMBOL BY AN EXPRESSION. At sometimes the auther needs to replace some symbol/expression by an other symbol/expression in whole document or some portion of it. Pl consider this if it′s not very difficult for you. Forum-friends can request some other features.

$${To}\:{Tinku}\:{Tara},\:{The}\:{Developer} \\ $$$${Sir}, \\ $$$$\:\:\:\:\:\:\:\:\:{You}'{re}\:{going}\:{to}\:{update}\:{this}, \\ $$$$\boldsymbol{{useful}}\:\boldsymbol{{in}}\:\boldsymbol{{real}}\:\boldsymbol{{sense}},\:{precious}\:{app}. \\ $$$${Taking}\:{advantage}\:{of}\:{this}\:{opportunity} \\ $$$${I}\:{suggest}\:{some}\:{revolutionary}\: \\ $$$${changes}\:{if}\:{they}'{re}\:{possible}\:{for}\:{you}. \\ $$$$\bullet{HIDE}/{UNHIDE}\:{DETALS}. \\ $$$${It}'{s}\:{very}\:{useful}\:{to}\:{hide}\:{some}\:{details} \\ $$$${of}\:{an}\:{answer}\:{for}\:{authers}\:{in}\:{order}\:{to}\: \\ $$$${offer}\:{overall}\:{view}.{If}\:{the}\:{reader} \\ $$$${wants}\:{these}\:{details}\:{they}\:{can}\:{unhide} \\ $$$${these}\:{by}\:{clicking}\:{some}\:{symbol}\left({small}\right. \\ $$$$\left.{triangles}\:{etc}\right).{Can}\:{we}\:{expect}\:{this} \\ $$$${feature}? \\ $$$$\bullet{HYPERLINK}\:{FACILITY}. \\ $$$${Some}\:{posts}\:{contain}\:{reference}\:{to} \\ $$$${some}\:{other}\:{questions}.{Is}\:{it}\:{possible} \\ $$$${to}\:{make}\:{these}\:{question}\:{numbers} \\ $$$$\boldsymbol{{hyperlinks}}\:{in}\:{order}\:{to}\:{reach} \\ $$$${these}\:{questions}\:{directly}\:{and}\:{come} \\ $$$${back}? \\ $$$$\bullet{REPLACING}\:{A}\:{SYMBOL} \\ $$$$\:\:\:{BY}\:{AN}\:{EXPRESSION}. \\ $$$${At}\:{sometimes}\:{the}\:{auther}\:{needs} \\ $$$${to}\:{replace}\:{some}\:{symbol}/{expression} \\ $$$${by}\:{an}\:{other}\:{symbol}/{expression}\:{in} \\ $$$${whole}\:{document}\:{or}\:{some}\:{portion}\:{of} \\ $$$${it}.\:{Pl}\:{consider}\:{this}\:{if}\:{it}'{s}\:{not}\:{very} \\ $$$${difficult}\:{for}\:{you}. \\ $$$${Forum}-{friends}\:{can}\:{request}\:{some} \\ $$$${other}\:{features}. \\ $$

Question Number 68991    Answers: 1   Comments: 0

if the range of f(x, y) = sec^(−1) (x+(1/x))+sec^(−1) (y+(1/y)), xy<0 is (a, b) and (a+b) equals ((λπ)/(10)), then λ is eqal to

$${if}\:{the}\:{range}\:{of}\:{f}\left({x},\:{y}\right)\:=\:{sec}^{−\mathrm{1}} \left({x}+\frac{\mathrm{1}}{{x}}\right)+{sec}^{−\mathrm{1}} \left({y}+\frac{\mathrm{1}}{{y}}\right),\:{xy}<\mathrm{0}\:{is}\:\left({a},\:{b}\right)\:{and}\:\left({a}+{b}\right)\:{equals}\:\frac{\lambda\pi}{\mathrm{10}},\:{then}\:\lambda\:{is}\:{eqal}\:{to}\: \\ $$

Question Number 69174    Answers: 0   Comments: 3

find the value of lim((1+cosx)/(tan^(2x) )) x−^ ⇈

$${find}\:{the}\:{value}\:{of}\: \\ $$$${lim}\frac{\mathrm{1}+{cosx}}{{tan}^{\mathrm{2}{x}} } \\ $$$${x}\hat {−}\upuparrows \\ $$

Question Number 69173    Answers: 0   Comments: 0

Question Number 68977    Answers: 1   Comments: 4

Question Number 68970    Answers: 1   Comments: 0

∫((3t^2 )/((1+t)^(15) )) dt

$$\int\frac{\mathrm{3}{t}^{\mathrm{2}} }{\left(\mathrm{1}+{t}\right)^{\mathrm{15}} }\:{dt} \\ $$

Question Number 68967    Answers: 1   Comments: 0

Question Number 68966    Answers: 0   Comments: 4

Question Number 68965    Answers: 0   Comments: 2

Question Number 68964    Answers: 0   Comments: 1

Question Number 68962    Answers: 0   Comments: 4

Question Number 68961    Answers: 1   Comments: 0

Question Number 68960    Answers: 0   Comments: 3

Question Number 68956    Answers: 0   Comments: 0

Question Number 68952    Answers: 1   Comments: 0

Question Number 68947    Answers: 0   Comments: 0

please utilise cette fonction to show that N∗N is denombrable f:N⊛N→N (x,y)∣→(((x+y)(x+y+1))/2)+y montrer que f est bijective Please help

$$\mathrm{please} \\ $$$$\mathrm{utilise}\:\mathrm{cette}\:\mathrm{fonction}\:\mathrm{to}\: \\ $$$$\mathrm{sh}\boldsymbol{\mathrm{ow}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{N}}\ast\boldsymbol{\mathrm{N}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{denombrable}} \\ $$$$\:\mathrm{f}:\boldsymbol{\mathrm{N}}\circledast\boldsymbol{\mathrm{N}}\rightarrow\boldsymbol{\mathrm{N}} \\ $$$$\:\:\:\:\left(\mathrm{x},\mathrm{y}\right)\shortmid\rightarrow\frac{\left(\mathrm{x}+\mathrm{y}\right)\left(\mathrm{x}+\mathrm{y}+\mathrm{1}\right)}{\mathrm{2}}+\mathrm{y} \\ $$$$\mathrm{montrer}\:\mathrm{que}\:\mathrm{f}\:\mathrm{est}\:\mathrm{bijective} \\ $$$$\:\:\:\boldsymbol{\mathrm{P}}\mathrm{lease}\:\mathrm{help} \\ $$$$ \\ $$$$\:\:\:\:\:\: \\ $$

Question Number 68946    Answers: 0   Comments: 1

Question Number 68941    Answers: 3   Comments: 3

Question Number 68935    Answers: 2   Comments: 0

Find all values for x: (x^2 −7x+11)^(x^2 −13x+42) =1 (Easy)

$${Find}\:{all}\:{values}\:{for}\:\boldsymbol{{x}}: \\ $$$$\left({x}^{\mathrm{2}} −\mathrm{7}{x}+\mathrm{11}\right)^{{x}^{\mathrm{2}} −\mathrm{13}{x}+\mathrm{42}} =\mathrm{1} \\ $$$$\left({Easy}\right) \\ $$

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