Question

find length of the curve x=(y^4/4)+1(8y^2) from y=1to y=2
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Answer 1

Answer:

In simple words, if the equation of an arc and its intersection point is given, then we can calculate its length by using the following mathematical expression.

Length of Arc=∫abxdx" role="presentation" style="display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.34px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">Length of Arc=b∫axdxLength of Arc=∫abxdx

Here, a is the first intersection point, b is the second intersection point, x is the equation of the arc.