# 5. Use Newton's Binomial Theorem to write y- V1- 2 as an infinite series (write out at least four non-zero

###### Question:

5. Use Newton's Binomial Theorem to write y- V1- 2 as an infinite series (write out at least four non-zero terms) and apply Rule I of De analysi term-by-term to find the area under the curve y-V1-x2 in the first quadrant (again using at least four non-zero terms). Using only the first four non-zero terms in the series you found, estimate the value of T. (Remark: This is a very inefficient way to estimate π. Using 1000 terms of the series, the approximation is accurate to only 3 decimal places.

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