How to integrate the natural log

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

Step-by-step 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.

10

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: