How would you integrate ln(x)

To integrate ln(x) you will need to use intergration by parts. As you can differentiate ln(x) (it is equal to 1/x) and there is an implied 1xln(x). As a result you can differentiate ln(x) and integrate the 1. This you can then combine to find the integral of ln(x), which is xln(x) - 1.

DD

Related Physics A Level answers

All answers ▸

Show that a pendulum undergoes simple harmonic motion (SHM). State your assumptions. The pendulum is made up of a light inextensible string, attached to a ceiling at one end and with a particle of mass m attached to the other end.


When 0.81 m of a wire with cross-sectional area of 3.1*10^-11 m^2 is connected across a 2 V battery a current of 1.6 A flows in the wire. Find the resistivity of the material of the wire.


A truck with mass 1200kg is moving at 8m/s when it collides head-on with a stationary car of mass 800kg. As they collide, the vehicles move together with the same velocity, v. Calculate this velocity.


Explain what is meant by tensile stress and tensile strain.