Question

Find the integral by using the appropriate formula. (Remember the constant of integration.)

x8
In(x) dx

Answer 1

The integral expression
`\int\limits {[x + 8\ln(x)]} \, dx` when evaluated is
`(x^2)/(2) + (8)/(x) + c`

How to evaluate the integral expression

From the question, we have the following parameters that can be used in our computation:

`\int\limits {[x + 8\ln(x)]} \, dx`

This can be expanded as

`\int\limits {[x + 8\ln(x)]} \, dx = \int\limits x dx + \int\limits 8\ln(x) \, dx`

Integrat each part

So, we have

`\int\limits {[x + 8\ln(x)]} \, dx = (x^2)/(2) + (8)/(x) + c`

Hence, the integral expression when evaluated is
`(x^2)/(2) + (8)/(x) + c`