Evaluate the integral of (x + 2) / [(x + 1) dx]

[venialove]

Evaluate Integral \(\displaystyle \frac{x+2}{(x+1)dx}\)

 

[venialove]

Re: Evaluate the integral of this function

Evaluate \(\displaystyle \int \frac{x+2}{(x+1)dx}\)

\(\displaystyle \int \\)

 

[skeeter]

Re: Evaluate the integral of this function

when integrating a rational function, what are you supposed to do first when the degree of the numerator is greater than or equal to the degree of the denominator?

 

[galactus]

Re: Evaluate the integral of this function

\(\displaystyle \int\frac{x+2}{x+1}dx\)

Long divide: \(\displaystyle \int{dx}+\int\frac{1}{x+1}dx\)

Now, can you finish?

 

[venialove]

Re: Evaluate the integral of this function

It has a the rational function has a horizontal asymptote and then y= 0. So I think you set the denominator to zero. And also I think they could be separated or you can simplify the problem by long division, right?

 

[venialove]

Re: Evaluate the integral of this function

x+ ln |x+1|+c

 

[skeeter]

Re: Evaluate the integral of this function

It has a the rational function has a horizontal asymptote and then y= 0. So I think you set the denominator to zero. And also I think they could be separated or you can simplify the problem by long division, right?

long division is correct ... your first two sentences are irrelevant to finding the antiderivative.