Thanks, for your help I have now done (a) (b) and (c)

2 more Qs though: The first is:

Doesn't $\displaystyle \frac{n \cdot 2^{n+1}}{n+1}$ the same/simplify to $\displaystyle \frac {2n\times 2^n}{n+1}$?

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The 2nd Q is somewhat related to the (a/b/c), but it is for integration 3 which i learnt last year and my paper 2 exam in 2 weeks is on this.

Area A is the area under the curve for x = a to b and the x axis

Area B is the area under the curve for y = a to b and the y axis

It says: " For a function $\displaystyle y=x^n$, the ratio of Area A: Area B is $\displaystyle n:1$. Given the function $\displaystyle y=x^n$ from x = a to x = b such that a < b, does this ratio hold true for the regions defined below? Prove and explain why or why not.

Area A: $\displaystyle y=x^n$, $\displaystyle y=a^n$, $\displaystyle y=b^n$ and the

*y* axis

Area B: $\displaystyle y=x^n$, x = a, x = b, and the

*x* axis

I'm not asking you to do it for me; you've already helped me a lot, but I don't know what to do or where to start, so just guide me a little?