Question

How to integrate the natural log

Answer 1

Explanation:

1. Proof

1. In(x) dx. set. u = In(x), dv = dx. then find. du = (1/x) dx, v = x.

2. Substitute. In(x) dx = u dv.

3. Use integration by parts. = uv - v du.

4. Substitute u=In(x), v=x, and du=(1/x)dx.

Answer 2

1. Proof

1. Proofln(x) dx. set. u = ln(x), dv = dx. then we find. du = (1/x) dx, v = x.

1. Proofln(x) dx. set. u = ln(x), dv = dx. then we find. du = (1/x) dx, v = x.substitute. ln(x) dx = u dv.

1. Proofln(x) dx. set. u = ln(x), dv = dx. then we find. du = (1/x) dx, v = x.substitute. ln(x) dx = u dv.and use integration by parts. = uv - v du.

1. Proofln(x) dx. set. u = ln(x), dv = dx. then we find. du = (1/x) dx, v = x.substitute. ln(x) dx = u dv.and use integration by parts. = uv - v du.substitute u=ln(x), v=x, and du=(1/x)dx.

hope this will help u