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Question Number 36634    Answers: 0   Comments: 5

Question Number 36633    Answers: 0   Comments: 1

calculate ∫_0 ^1 arctan(x^2 +x+1)dx

$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{arctan}\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right){dx} \\ $$

Question Number 36630    Answers: 0   Comments: 1

Question Number 36629    Answers: 0   Comments: 0

Question Number 36626    Answers: 0   Comments: 1

Question Number 36625    Answers: 0   Comments: 0

Question Number 36623    Answers: 0   Comments: 0

Question Number 36622    Answers: 0   Comments: 0

Question Number 36613    Answers: 1   Comments: 5

Question Number 36601    Answers: 0   Comments: 2

i want to share proof that universe and mathematics co related...golden ratio...is the proof...fibanocci numbers present in resl life if you want i can share...

$${i}\:{want}\:{to}\:{share}\:{proof}\:{that}\:{universe}\:{and} \\ $$$${mathematics}\:{co}\:{related}...{golden}\:{ratio}...{is}\:{the} \\ $$$${proof}...{fibanocci}\:{numbers}\:{present}\:{in}\:{resl}\:{life} \\ $$$${if}\:{you}\:{want}\:{i}\:{can}\:{share}... \\ $$

Question Number 36597    Answers: 2   Comments: 2

∫(dx/(x^(2/3) (1+x^(2/3) ))) = ?

$$\int\frac{\mathrm{d}{x}}{{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \left(\mathrm{1}+{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \right)}\:=\:? \\ $$

Question Number 36659    Answers: 1   Comments: 3

∫ (1/(sin^4 x+cos^4 x)) dx

$$\int\:\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{4}} {x}+\mathrm{cos}\:^{\mathrm{4}} {x}}\:{dx} \\ $$

Question Number 36595    Answers: 2   Comments: 0

∫ ((x dx)/(√(1+x^2 +(√((1+x^2 )^3 ))))) = ?

$$\int\:\frac{{x}\:{dx}}{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} +\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} }}}\:=\:? \\ $$

Question Number 36590    Answers: 1   Comments: 1

Question Number 36587    Answers: 0   Comments: 0

Explain why is the wurtz reaction not applicable for odd number of carbon in the preparation of Akanes

$$\boldsymbol{{Explain}}\:\boldsymbol{{why}}\:\boldsymbol{{is}}\:\boldsymbol{{the}}\:\boldsymbol{{wurtz}}\: \\ $$$$\boldsymbol{{reaction}}\:\boldsymbol{{not}}\:\boldsymbol{{applicable}} \\ $$$$\boldsymbol{{for}}\:\boldsymbol{{odd}}\:\boldsymbol{{number}}\:\boldsymbol{{of}}\:\boldsymbol{{carbon}} \\ $$$$\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{preparation}}\:\boldsymbol{{of}} \\ $$$$\boldsymbol{{Akanes}} \\ $$

Question Number 36576    Answers: 1   Comments: 1

Question Number 36563    Answers: 1   Comments: 1

Question Number 36548    Answers: 1   Comments: 0

Question Number 36547    Answers: 3   Comments: 0

∫((5x^4 +4x^5 )/((x^5 +x+1)^2 ))

$$\int\frac{\mathrm{5}{x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{5}} }{\left({x}^{\mathrm{5}} +{x}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 36546    Answers: 0   Comments: 0

∫(((x−1))/((x+1)(√(x^3 +x^2 +x))))dx

$$\int\frac{\left({x}−\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{3}} +{x}^{\mathrm{2}} +{x}}}{dx} \\ $$

Question Number 36545    Answers: 2   Comments: 6

∫((2x+1)/((x^2 +4x+1)^(3/2) ))dx

$$\int\frac{\mathrm{2}{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} }{dx} \\ $$

Question Number 36544    Answers: 1   Comments: 0

∫(dx/(tanx+cotx+secx+cosecx))

$$\int\frac{{dx}}{{tanx}+{cotx}+{secx}+{cosecx}} \\ $$

Question Number 36543    Answers: 0   Comments: 0

∫cot^(−1) (x^2 +x+1) dx

$$\int{cot}^{−\mathrm{1}} \left({x}^{\mathrm{2}} +{x}+\mathrm{1}\right)\:{dx} \\ $$

Question Number 36541    Answers: 0   Comments: 1

∫(x+(√(1+x^2 )) )^n dx

$$\int\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:\right)^{{n}} {dx} \\ $$

Question Number 36538    Answers: 0   Comments: 1

∫(dx/((a+bx^2 )(√(b−ax^2 ))))

$$\int\frac{{dx}}{\left({a}+{bx}^{\mathrm{2}} \right)\sqrt{{b}−{ax}^{\mathrm{2}} \:}}\:\: \\ $$

Question Number 36537    Answers: 0   Comments: 3

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