Trapezium Rule- finding area of region A.

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Homework Statement



Question 2
http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9709%20-%20Mathematics/9709_s11_qp_22.pdf

Homework Equations



A=1/2xh[(y1)+2(y2)+2(y3)...+(yn)]

The Attempt at a Solution


I know h=1
x=0 y=1
x=1 y=√2
x=2 y=√5

however when i plug this into equation, i get wrong answer.
(.5)x1(1+2(√2)+√5
i get 3.03 and the answer should be 3.41. :( what am i doing wrong
 
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nevermind i got it. it should be y=3 when x=2. i plugged it in wrong because i did x squared not cubed. calculation error
 
however, now I'm stuck on the second part to that question.
 
nevermind again lol. i just had to find the area of rectangle 3x2
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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