Differentiate, Evaluate Intergral

[fashion_fever]

Differentiate:

(6-xe^x)/(x+e^x)=...


Evaluate Intergral:

(2u^5-8u^3+5u^2)du, from lower limit -1 to higher limit 0.
(i got 10/3 for some reason...)

(u^7+6u^13)/u^9 du, from lower limit 1 to higher limit 2.
(n i got 47 for this..)

I tried these a few times but my answer is still not quite right, so I am kinda stuck right now, can any1 help with the answers?

 

[rock.freak667]

Differentiation one, just use the quotient rule and the product rule.

Did not check you intergals yet, but I think your 'dy's should be 'du's instead.

 

[fashion_fever]

sorry, i changed it to du.
For the differentiate, I did use the quotient and product rule, but somehow the answer is wrong.

 

[rock.freak667]

sorry, i changed it to du.
For the differentiate, I did use the quotient and product rule, but somehow the answer is wrong.

Could you post your attempt so we can see what, if anything you did wrong?

 

[fashion_fever]

[(-e^x-xe^x)(x+e^x)-(1+e^x)(6-xe^x)]/(x+e^x)^2
is this step right?

 

[Agent M27]

Yes that is correct.

 

[fashion_fever]

oh, okay good.then i try to simply it i got [e^x^2+x^2e^x+6e^x+6]/(x+e^x)^2...which is not right...