00:01
Hello everyone, here we are given with the equation of the curve which is 2x cube plus 12x and we have to set up an integral for the points minus 1 to minus 14 and 4 to 176 that represents length of the curve.
00:32
Now to find the length of the curve we have the arc length formula.
00:39
So, that is arc length is equal to integral over a to b root of 1 plus y dash the whole square dx.
00:52
So, using this formula let us set up the integral for the above curve.
00:59
So, here the value of a and b is taken as x coordinate.
01:05
So, here the x coordinate is minus 1 and 4.
01:08
So, it will be minus 1.
01:12
So, minus 1 and 4 and we have to find the derivative of y.
01:21
So, derivative of y is 6 x square plus 12...