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Firstly, we may simplify the expression by factoring out any constants. In this case 5 can be factored out. 

5 ∫ cos(3x-1) dx 

For the integrand cos(3x -1), we can use a simple u-substitutio...

The first step in this solution is to factorise the equation we have been given into the form (ax+b)(cx+d)=0, where a, b, c and d are constants which we need to determine. If we were to expand the bracket...

Let's open out the bracket using the FOIL method (first, outside, inside, last):

(3 + root(a))(4 + root(a)) = 12 + 3root(a) + 4root(a) + (root(a))² = 12 + 7root(a) + a.

Since the ...

The chain rule is a rule of differentiation that states: (f(g(x))'=f^'(g(x))g'(x)

In effect, the chain rule allows us to split up a complicated equation ...

This is a simple question where students need to use BIDMAS to solve the equation. The easiest method is to seperate the two sides and solve individually, then combine. Firstly, 3(x+5) multiplies out to g...