i need help on indefinite integral problems!?

Question

i am having a VERY tough time with integral problems.
the wolfram integrater is helpful now and then but it does not tell the steps as it uses very high level equations.
If you are willing to help me just add me to ymsgr. [e-mail]

i would love some help from the masters of calc!
thx.
PS: btw i'm a first year!

or at least email me...
and fot the time being solve this one..

integral on (e^x)(((1-x)/(1+x^2))^2)
ans: (e^x)/log(x) - wofram integrater

Answer 1

1. You have to learn methods of integration. See references below.
2. To check if you have the solution to an integral just differentiate the answer.
In your case if y= (e^x)/log(x)
Then y’=( (e^x)/x ) – ((e^x)/ln(x)))/ln(x) nothing even close is it?

Suggestions.

Analyze your integral for a quotient rule and integration by parts.

Answer 2

dont replace, divide the num by using the denom and get 2 integrals: 4x/(x^2+a million) +3/(x^2+a million) interior the first critical, word that you've a attainable of x interior the num and x^2 interior the denom, so in case you position u=x^2+a million right here, you've du=2x dx or x dx = du/2, and the first critical will develop into: 2 du/u = 2 log u = 2 log (x^2+a million) the 2d critical is only the critical of arctan x, so your very last result's: 2log|x^2+a million| +3 arctanx