Calculus 2 Master needed, evaluate the indefinite integral of: So far I had applied the integration by parts and got: do we do integration by parts again? also, do we simplify the x at my current stage? steps shown would be appreciated

Step-by-step explanation:

We want to evaluate the integral:

We can use Integration by Parts. Rewriting the integral yields:

Recall that IBP is given by:

Let u be (ln(x))². And let dv be (1) dx. Therefore:

Simplify:

And:

Therefore:

Simplify:

We can perform IBP again. Let u = ln(x) and v = 1. Hence:

And:

Thus:

Simplify:

Evaluate:

Simplify:

Factor:

Therefore:

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step-by-step explanation: