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Straight away we notice that two trigonometric terms on the left hand side have 2x but there are no 2x on the right hand side therefore we realise that this question will require double angle formulae. If...

If you have an expression like 6x^2, to integrate it you have to add 1 to the power. Therefore, the new power will be 3. Then divide the whole expression by the new power so it will be 6x^3 divided by 3, ...

Here we need to use the formula for the sum of a geometric series up to n terms: s = a*(r^n-1)/(r-1). In this formula, 'a' is the first term of the series, 'r' is the common ratio between each consecutive...

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols >, ≥, ≤, <. In our question we have to find when function f(x)=3x^2+8x-3 is le...

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Imp...