Search over 10,000 free study notes

So this is the sort of quesition where you will spend a while thinking about it, probably feel a little silly you haven't gotten it yet, then go "aha!", write down the answer and move on. It's a...

(STEP I 2017, Q1i)For the first part, the hint u = x sin(x) + cos(x) is given. It can be seen that this is the denominator once the fraction is multiplied by cos(x) / cos(x). The answer is ln(x sin(x) + c...

Integrals are frequently used in computing areas in two, three and even multidimensional space, thus they can be used to find out the "area" or "volume" of objects that we cannot even ...

In order to do this question, we need to find some way of eliminating the h(1/(1−x)), so that we are left with h(x), thus solving it. One way to do this, is to set up simultaneous equations. We may need t...

Without loss of generality claim p > q.Now, we try to write pq in the form pq = a²-b² where a and b are non-negative integers.If b = 0, then pq = a². But p and q are di...