Use integration by parts to derive the following formula from the table of integrals.
∫x^n . ln |x|dx=x^n+1 [ln |x|/n+1]-1/(n+1)^2]+c, n≠-1.

Step-by-step explanation:

We have been given an indefinite integral . We are asked to integrate it.

We will use integration by pats to solve our given problem.

Let and .

Now, we need to find du and v using above values.

Substitute these values in integration by parts formula:

Therefore, our required integral would be .

a rotation about point l

step-by-step explanation:

quizlet