Question # Integrate the left hand side

∫(ln x)^n d x=x(ln x)^n-n ∫(ln x)^n-1 d x

Name: Question # Integrate the left hand side ∫(ln x)^n d x=x(ln x)^n-n ∫(ln x)^n-1 d x
Uploaded: 2021-06-15T14:45:31-08:00
Duration: 58 s
Channel: Vikash Ranjan
Description: Question # Integrate the left hand side ∫(ln x)^n d x=x(ln x)^n-n ∫(ln x)^n-1 d x

Question

Question # Integrate the left hand side

∫(ln x)^n d x=x(ln x)^n-n ∫(ln x)^n-1 d x

Vikash Ranjan · Accepted Answer

Step 1: We can see that the integral is of the form ∫f(x)g(x) dx, where f(x) = ln(x)^n and g(x)

Question

Question \# Integrate the left hand side \[ \int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x \]

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