# Math Help - Area under the curve

1. ## Area under the curve

Hello¡¡

Find the area under the curve: $y= 1/x^2+x$ to the right of $x=1
$

Thanks

2. You simply take the integral of the function where your limits of integration are what is given to you

You integral will look like such

$\int \frac{1}{x^2}+ x$ $dx$

According to what you stated, you want the area to the right of x = 1 so now you have your limits of integration is from x = 1 to infinity assuming to no other x was mentioned

$\int_1^{\infty} \frac{1}{x^2}+ x$ $dx$

This is now in the form of the integral where you have to perform a series of steps evaluating the limit this function approaches to get the estimation of the area under this curve, in another words if the area of what you stated is finite or infinite