You need to find the length of the given curve, on the interval [1,3], using the formula , where
You need to differentiate the equation of the curve , with respect to x, such that:
Notice that if you raise to square the binomial yields
Now, in the last result, you have obtained
hence, you may recognize the formula of special binomial product
You may take now the square root, such that:
Arc length =
Arc length =
You may evaluate the definite integral, such that:
Hence, evaluating the length of the curve , on interval
yields
.
No comments:
Post a Comment