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Here we are dealing with 2 concepts: trigonometry and surds.First i would make sure that the student is aware/can identify these trigonometry values.So sin45 = 1/√ 2, tan45 = 1, tan60 = √ 3Now i would ins...

First, you use the substitution u=1+e^x which implies that du=e^x dx. Then, you factorise e^3x = e^2x e^x and replace e^x dx with du. Then by re...

There are two main methods to solve simultaneous equations. Elimination and Substitution. Usually one is easier and quicker than the other, but this is dependent upon the question you face in the exam so ...

First, use the substitution u=e^x (which implies dx=du/u) to make the integral ∫6/(u*(u+2)))du. Next seperate the fraction using partial fractions and expand to form 3∫1/u du - 3∫1/(u+2) du. Next integrat...

Firstly, we need to eliminate on of the terms of the equation, either the x or the y term, by combining the two equations into one equation. To do this we can add or subtract the two equations from each o...