# What is the net area between #f(x)=(x-x^2)/ln(x^2+1)# in #x in[1,2] # and the x-axis?

##### 1 Answer

The Area using a numerical methods Integral Calculator

See explanation and the estimate using the triangular area...

#### Explanation:

**Given**:

**Required**: Area under

**Solution Strategy **: Use the Area definite integral for

1) Definite integral:

Now this integral has be computed numerically, because it does not

have a closed form antiderivative. So let's plot and see what we can do with that. Looking at plot we see we can estimate it with the area of triangle with base

Thus area is:

The Area using a numerical methods Integral Calculator

Not bad approximation