I happened to spot @masterwu's article on the above integral and decided, just for fun, to try doing it via another approach. As he noted, there is another substitution via hyperbolic functions. However,

Just like Facebook relationships, roots can get "complicated". No, I am not talking about roots of plants or trees. I am talking about things like , , and . These are expressions involving square

Image Credit: Derived from CC0 image @ Dreamstime This is not the first time that a mathematics problem from Singapore's high-stakes Primary School Leaving Examination (PSLE) has made the headlines and

Some graphing software or calculators (on a certain mode) can plot curves only when y is expressed as a function of x. So how do you plot vertical lines? The answer is that you cannot. It is impossible.

In The Sharp Mathematics Contest #2, the following challenge was given:- The Challenge Comments on Participation The challenge was meant to encourage readers to read and apply information from my article

My article on Visualising the Division of Fractions is spreading like wild fire on social media. The basic idea is that when you divide by a fraction (e.g. half), we are counting with smaller units (e.g.

The Sharp Mathematics Contest #2 Stop Press! Are your eyes sharp enough to observe? Are your ears sharp enough to listen for flat tones? Can you handle the risk with a good Sharpe Ratio? Is your mind as

Many people have heard the rumor that when you divide by a fraction, you flip the fraction and multiply. Why? That's because their teachers told them so! But why? That's because their teachers' teachers

Here is a compilation of my recent articles on education and/or mathematics, in case you have missed any of them. Pedagogy (Good for teachers to read too) “Singapore Math” : Clear Communication and

In The Sharp Mathematics Contest #1, the following puzzle was posed:- The Puzzle Alice and Betty are arguing over the set P of all positive whole numbers, and the set E of all positive even numbers. Alice

This article my "model answer" to my "Sharp Mathematics Contest #1", which is a modified version of Galilei's Paradox comparing the set of positive integers with the set of even positive

Next time, when you try to contact other people, please identify yourself! If you have nothing to hide, what's wrong with telling the other person who you are? Why do you have to be so secretive? In today's

In yesterday's article, I issued a challenge to draw a Hasse diagram for the divisibility relation for the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. I also asked these questions to prod i.e. STEEM-u-late

In yesterday's article, I was talking about finding the Highest Common Factor (HCF) a.k.a. Greatest Common Divisor (GCD) and the Lowest Common Multiple (LCM) using a calculator. Actually you don't need

Today I shall share with you how to find the Highest Common Factor (HCF) a.k.a. Greatest Common divisor (GCD) in America, and the Lowest Common Multiple using the “fraction” feature that is available in

What has the above picture got to do with the following mathematical inequality problem? This inequality looks ... er ... challenging doesn’t it? We do not know what x is, how can we conclude anything?

Here is a confounding geometrical Mathematics problem around primary 5 or 6 (~ grade 5 or 6) level in Singapore. Take a look:- Have a go at it! Hmmmmm .... There are five unknowns, aren’t there? It looks

Hey people! Just for fun, I have decided to organise a mathematics contest. The prizes, from my own Steem wallet, are:- Prizes 1st Prize: 5 SBD 2nd Prize: 3 SBD 3rd Prize: 2 SBD If I get sponsors, then

Can a number eat and swallow another number? Before we examine this proposition, look at the problem below. There are many ways to find the Lowest Common Multiple (LCM) of numbers. In this article, I introduce

There was once a poor pesky pest Who joined a limerick contest. His rhyming was poor, And was shown the door, But he still thought he was the best! @originalworks