## Integration techniques | Integration by parts

U-substitution is a very useful technique for integration. You can apply it in every case, but it doesn’t always make things easier. But here comes this new technique in help!… Read more Integration techniques | Integration by parts

## Rules and properties of integrals

Ok, this is the second step! I will cover the rules you need to apply to calculate an integral. With the next lesson, you will hopefully be able to start… Read more Rules and properties of integrals

## Fundamental integrals

In order to be able to solve integrals, (whether they are definite of indefinite) you need to learn the fundamental integrals first, the same way you did for the derivatives.… Read more Fundamental integrals

## Fundamental derivatives

What it takes to be able to calculate any derivative is to know the rules of differentiation and the fundamental derivatives, the ones you have to memorize. If you are… Read more Fundamental derivatives

## The rules of differentiation

In the previous lesson we talked about differentiation in general; just as a reminder, it is a word that means “computation of a derivative”, the same way multiplication means “computation… Read more The rules of differentiation

## What’s differentiation?

In my first lesson I talked about integration: in a nutshell, it’s the mathematical operation used to calculate the area under a curve of function f(x). The integral of a… Read more What’s differentiation?

## What’s integration?

What’s the area of a rectangle? Easy! Width times height. Another one: what is the area of a circle? Yes! pi times the radius squared. What’s the area under a parabola? Easy!… well, not really (for now!). This is a graph of the function f(x) = x². The region in red is the area we want to calculate, and as you can see it’s bound between x=0.5 and x=1. That’s not a shape we know. It is not a circle nor a rectangle nor a triangle. It does look like… Read more What’s integration?

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