## Integration by Partial Fractions – Examples with Answers

Integration by partial fractions is an integration technique that consists of rewriting a rational function as the sum of simple … Read more

## Integration by Substitution – Examples with Answers

Integration by substitution consists of finding a substitution to simplify the integral. For example, we can look for a function … Read more

## Types of Sequences in Mathematics

Depending on the pattern of the numbers in the sequence, we can have several types of mathematical sequences. Among the … Read more

## Series and Sigma Notation – Examples with Answers

Series are the sums of the terms of sequences. Similar to sequences, we can have finite or infinite series and … Read more

## Points of Intersection of Two Circles – Examples with Answers

To find the points of intersection of two circles, we start by finding the equation of the common chord. This … Read more

## Equation of the Tangent to a Circle – Examples with Answers

The equation of the tangent line to a circle is found using the form y=mx+b. In turn, we can find … Read more

## Finding the Radius and Center of a Circle with the Equation

To find the radius and coordinates of the center of a circle when we have its equation written in general … Read more

## Trigonometric Equations – Examples with Answers

Trigonometric equations are equations involving trigonometric functions such as sine, cosine, and tangent. These equations can be used to solve … Read more

## Volume of Revolution About the y-Axis with Examples

The volume of revolution formed when we rotate an area by 2π around the y-axis can be found by using … Read more

## Volume of Revolution About the x-Axis with Examples

The volume of revolution about the x-axis can be found by evaluating a definite integral with respect to the square … Read more