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For the first part of the question we need to try and understand what is actually happening – we have the sum of an integral – where we are summing a sequence of definite integrals. So when n = 0 we have ...

x²=9sin²(A) and y²=16cos²(A)Since sin²(A)+cos²(A)=116x²+9y²=16 x 916x²+9y²=144

ln|x| + c

It's a simple process once you know the basics behind it.Let's take X²We have been asked to integrate this.The first thing is to always add 1 on to the power.X³Next thing is to divid...

The key point in this question is noting that implicit differentiation is a very useful tool, although it is slightly different and looks much scarier than differentiating y = f(x).To do the question, a m...