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We will use integration by substitution to solve this integral.

Let 1-x^2=sin^2(u)

This means that:

x^2=1-sin^2(u)=cos^2(u) (using the trigonometric identity sin^2(x)+cos^2(x)=1). The...

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by findin...

This is a very common IB-level question,

which is solved with using the technique of a "disguised quadratic".

The first thing we want to do in finding the inverse is swapping the p...

A question that haunts every IB HL Math student day and night. Most students beleive that if they solve all past exams and practice book problems they should easily make a seven. That is absolutely not...

To solve this problem, the maximum and minimum points of equations can be deduced through the differentiation process. This looks at the gradient of the function and the maximum/minimum value occurs wh...