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First write tanx as sinx/cosx as it is always helpful to use what additional information the question gives you. It says we must use the quotient rule to calculate the result so it is also a good idea to ...

Integrate by parts, identifying that dv/dx = 1, u = ln(x) and therefore v = x and du/dx = 1/x. Sub into the parts equation to find the answer to be xln(x) - x + c.

The sine rule is a very powerful tool used in mathematics to calculate unknown sides and angles of triangles when we only know some of the information.

For example if we have a triangle and we know...

You say you are familiar with the product rule i.e. f(x)=u(x)v(x) f'(x)= u(x)v'(x)+v(x)u'(x) (Equation 1)

OK so why don't we try applying that here let's try splitting the function in this proble...

If the two parametric equations have the form x = at + b and y = ct + d then the first step is to rearrange one to make the parameter 't' the subject. We then substitute this equation for 't' int...