In this recording, we look at integrating rational functions where both the numerator and the denominator are linear functions.

In this recording we calculate j to the power of j by first converting j into exponential polar form. We then also see that there are an infinite number of values for j to the power of j.

For a specific example, this recording demonstrates the process involved in multiplying two binary numbers using long mutliplication.

Demonstrates integrating an improper rational function, where first long division must be used to rewrite it as a polynomial plus a proper rational function. The proper rational function that results is then re-written as partial fractions, and it is then possible to find the integral.

In this recording we look at integrating proper rational functions.

In this recording, we look at the process of integrating rational functions of the form a divided by (bx+c)^m.

In this recording, we look at the process of integrating rational functions of the form a divided by (bx+c)^m.

In this recording we look at integrating proper rational functions.

In this recording, we look at integrating rational functions where both the numerator and the denominator are linear functions.

Demonstrates integrating an improper rational function, where first long division must be used to rewrite it as a polynomial plus a proper rational function. The proper rational function that results is then re-written as partial fractions, and it is then possible to find the integral.