Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 122884 by CanovasCamiseros last updated on 20/Nov/20

Commented by CanovasCamiseros last updated on 20/Nov/20

Need help for this please

$$\boldsymbol{{Need}}\:\boldsymbol{{help}}\:\boldsymbol{{for}}\:\boldsymbol{{this}}\:\boldsymbol{{please}} \\ $$

Answered by MJS_new last updated on 20/Nov/20

(√e^x )=e^(x/2)   ∫(√e^x )dx=2e^(x/2) +C

$$\sqrt{\mathrm{e}^{{x}} }=\mathrm{e}^{\frac{{x}}{\mathrm{2}}} \\ $$$$\int\sqrt{\mathrm{e}^{{x}} }{dx}=\mathrm{2e}^{\frac{{x}}{\mathrm{2}}} +{C} \\ $$

Commented by MJS_new last updated on 20/Nov/20

it is the same.  (√a)=a^(1/2)   (a^b )^c =a^(bc)   (√e^x )=(e^x )^(1/2) =e^(x/2)

$$\mathrm{it}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}. \\ $$$$\sqrt{{a}}={a}^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$$\left({a}^{{b}} \right)^{{c}} ={a}^{{bc}} \\ $$$$\sqrt{\mathrm{e}^{{x}} }=\left(\mathrm{e}^{{x}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} =\mathrm{e}^{\frac{{x}}{\mathrm{2}}} \\ $$

Commented by CanovasCamiseros last updated on 20/Nov/20

Why is it that i get 2(√e^x ) + C ?

$$\boldsymbol{{Why}}\:\boldsymbol{{is}}\:\boldsymbol{{it}}\:\boldsymbol{{that}}\:\boldsymbol{{i}}\:\boldsymbol{{get}}\:\mathrm{2}\sqrt{\boldsymbol{{e}}^{\boldsymbol{{x}}} }\:+\:\boldsymbol{{C}}\:? \\ $$

Commented by CanovasCamiseros last updated on 21/Nov/20

Oooooh! I get it sir... Thank you so much!

$$\boldsymbol{{Oooooh}}!\:\boldsymbol{{I}}\:\boldsymbol{{get}}\:\boldsymbol{{it}}\:\boldsymbol{{sir}}...\:\boldsymbol{{Thank}}\:\boldsymbol{{you}}\:\boldsymbol{{so}}\:\boldsymbol{{much}}! \\ $$

Commented by CanovasCamiseros last updated on 21/Nov/20

Oooooh! I get it sir... Thank you so much!

$$\boldsymbol{{Oooooh}}!\:\boldsymbol{{I}}\:\boldsymbol{{get}}\:\boldsymbol{{it}}\:\boldsymbol{{sir}}...\:\boldsymbol{{Thank}}\:\boldsymbol{{you}}\:\boldsymbol{{so}}\:\boldsymbol{{much}}! \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com