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AllQuestion and Answers: Page 493

Question Number 168762 Answers: 0 Comments: 2

Question Number 168755 Answers: 0 Comments: 5

∫(1/(x+(√(1−x)))) dx

$$\int\frac{\mathrm{1}}{{x}+\sqrt{\mathrm{1}−{x}}}\:{dx} \\ $$

Question Number 168753 Answers: 0 Comments: 1

∫(dx/( (√(sin^(−1) (x)))))=?

$$\int\frac{{dx}}{\:\sqrt{{sin}^{−\mathrm{1}} \left({x}\right)}}=? \\ $$

Question Number 168745 Answers: 1 Comments: 1

∫(1/(x+(√(x−1)))) dx = ??

$$\int\frac{\mathrm{1}}{{x}+\sqrt{{x}−\mathrm{1}}}\:{dx}\:=\:?? \\ $$

Question Number 168744 Answers: 3 Comments: 0

Resolve 1) ∫((√(1+cos x))/(sin x))dx 2) ∫(dx/(1+((x+1))^(1/3) )) 3) ∫((xtan x)/(cos^4 x))dx 4) ∫(dx/(1+(√x)+(√(1+x))))

$${Resolve} \\ $$$$\left.\mathrm{1}\right)\:\int\frac{\sqrt{\mathrm{1}+\mathrm{cos}\:{x}}}{\mathrm{sin}\:{x}}{dx} \\ $$$$\left.\mathrm{2}\right)\:\int\frac{{dx}}{\mathrm{1}+\sqrt[{\mathrm{3}}]{{x}+\mathrm{1}}} \\ $$$$\left.\mathrm{3}\right)\:\int\frac{{x}\mathrm{tan}\:{x}}{\mathrm{cos}\:^{\mathrm{4}} {x}}{dx} \\ $$$$\left.\mathrm{4}\right)\:\int\frac{{dx}}{\mathrm{1}+\sqrt{{x}}+\sqrt{\mathrm{1}+{x}}} \\ $$

Question Number 168743 Answers: 1 Comments: 1

∫_0 ^∞ ((√t)/(1+t^2 ))dt FAILED TO CALCULATE

$$\int_{\mathrm{0}} ^{\infty} \frac{\sqrt{{t}}}{\mathrm{1}+{t}^{\mathrm{2}} }{dt} \\ $$$$\mathrm{FAILED}\:\mathrm{TO}\:\mathrm{CALCULATE} \\ $$$$ \\ $$

Question Number 168742 Answers: 1 Comments: 0

Resolve y=xy′+a(√(1+(y′)^2 ))

$${Resolve} \\ $$$${y}={xy}'+{a}\sqrt{\mathrm{1}+\left(\mathrm{y}'\right)^{\mathrm{2}} } \\ $$

Question Number 168737 Answers: 1 Comments: 1

Question Number 168734 Answers: 0 Comments: 0

Question Number 168732 Answers: 2 Comments: 0

Question Number 168723 Answers: 0 Comments: 2

Resolve (x+5)^5 y^(′′) =1

$${Resolve}\: \\ $$$$\left({x}+\mathrm{5}\right)^{\mathrm{5}} {y}^{''} =\mathrm{1} \\ $$

Question Number 168722 Answers: 0 Comments: 1

Resolve x^2 y^(′′) +xy^′ +y=1

$${Resolve}\: \\ $$$${x}^{\mathrm{2}} {y}^{''} +{xy}^{'} +{y}=\mathrm{1} \\ $$

Question Number 168721 Answers: 1 Comments: 0

Question Number 168710 Answers: 0 Comments: 4

Question Number 168709 Answers: 0 Comments: 3

Question Number 168707 Answers: 1 Comments: 1

Question Number 168698 Answers: 3 Comments: 0

3f(x)+2f(((x+59)/(x−1)))=10x+30 for all rael x=1 faind volue of f(7)=?

$$\mathrm{3}{f}\left({x}\right)+\mathrm{2}{f}\left(\frac{{x}+\mathrm{59}}{{x}−\mathrm{1}}\right)=\mathrm{10}{x}+\mathrm{30}\:{for}\:{all} \\ $$$${rael}\:\:{x}\cancel{=}\mathrm{1}\:{faind}\:{volue}\:{of} \\ $$$${f}\left(\mathrm{7}\right)=? \\ $$$$ \\ $$

Question Number 168696 Answers: 1 Comments: 0

Calculate :: lim_(x→0) ((∫_(2x−1) ^(2x+1) e^t^2 dt−∫_(−1) ^1 e^t^2 dt)/x^2 )=8e ,Don′t use L′Hospital′s rule.

$$\mathrm{Calculate}\:\:\:::\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\int_{\mathrm{2x}−\mathrm{1}} ^{\mathrm{2x}+\mathrm{1}} \mathrm{e}^{\mathrm{t}^{\mathrm{2}} } \mathrm{dt}−\int_{−\mathrm{1}} ^{\mathrm{1}} \mathrm{e}^{\mathrm{t}^{\mathrm{2}} } \mathrm{dt}}{\mathrm{x}^{\mathrm{2}} }=\mathrm{8e}\:\:\:,\mathrm{Don}'\mathrm{t}\:\mathrm{use}\:\mathrm{L}'\mathrm{Hospital}'\mathrm{s}\:\mathrm{rule}. \\ $$

Question Number 168686 Answers: 0 Comments: 0

Question Number 168679 Answers: 2 Comments: 0

Question Number 168677 Answers: 2 Comments: 1

Question Number 168680 Answers: 0 Comments: 1

Question Number 168669 Answers: 0 Comments: 1

convert the intigeral ∫_1 ^( 2) ∫_0 ^( 1) 4xy^3 dxdy to polar cordinaite and it solve ?

$$\boldsymbol{{convert}}\:\boldsymbol{{the}}\:\boldsymbol{{intigeral}}\:\int_{\mathrm{1}} ^{\:\mathrm{2}} \:\int_{\mathrm{0}} ^{\:\mathrm{1}} \mathrm{4}\boldsymbol{{xy}}^{\mathrm{3}} \boldsymbol{{dxdy}}\:\boldsymbol{{to}}\:\boldsymbol{{polar}}\:\boldsymbol{{cordinaite}}\:\boldsymbol{{and}}\:\boldsymbol{{it}}\:\boldsymbol{{solve}}\:? \\ $$

Question Number 168665 Answers: 1 Comments: 1

Question Number 168664 Answers: 1 Comments: 0

{ ((8cos x−8sin x=3)),((55tan x+((55)/(tan x)) =?)) :}

$$\:\:\:\:\:\begin{cases}{\mathrm{8cos}\:{x}−\mathrm{8sin}\:{x}=\mathrm{3}}\\{\mathrm{55tan}\:{x}+\frac{\mathrm{55}}{\mathrm{tan}\:{x}}\:=?}\end{cases} \\ $$

Question Number 168663 Answers: 0 Comments: 1

how to solve? ((cos(30°)∙sin(45°)−cos(30°+dx)∙sin(45°+dx))/dx)=? dx→0

$${how}\:{to}\:{solve}? \\ $$$$\frac{{cos}\left(\mathrm{30}°\right)\centerdot{sin}\left(\mathrm{45}°\right)−{cos}\left(\mathrm{30}°+{dx}\right)\centerdot{sin}\left(\mathrm{45}°+{dx}\right)}{{dx}}=? \\ $$$${dx}\rightarrow\mathrm{0} \\ $$

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