Hello everyone,

I am curious about how to evaluate the following integral without the use of a computer.

Can you show some steps so that I can get the idea of it? Thanks in advance. This integral is from Berkeley Physics Course V2.

Printable View

- May 5th 2011, 12:32 PMJohnDoeHow do you evaluate this Integral by hand?
Hello everyone,

I am curious about how to evaluate the following integral without the use of a computer.

Can you show some steps so that I can get the idea of it? Thanks in advance. This integral is from Berkeley Physics Course V2. - May 5th 2011, 04:48 PMTheCoffeeMachine
Okay, here is how you do it. Rewrite the integral and put t = cosφ then sub t = √[(1-β²)/β²]tanx.

- May 7th 2011, 01:28 PMJohnDoe
Thank you. Also Maple evaluates a much more complicated integral with many terms. What may be the reason behind this?

- May 7th 2011, 01:35 PMpickslides
There are sometimes many different ways to integrate a particular equation, Maple probably has a default method as a first attempt.

- May 7th 2011, 01:55 PMTheCoffeeMachine