Question

Hi...this is a tough one...
Integrate root[1 + ((14/5)x^(2/5))^2] from x=0 to x=4...
In words, The integral from zero to four of the square root of 1 plus the quantity(15 over 5, x to the 2/5 power) all squared...whew

Answer 1

should i square the quantity then make 1 into 25 over 25 so i can combine the everything under the root to make 196/25x^4/5 ?

Answer 2

That doesn't look easy ~_~. How did you get to that integral?

Answer 3

its a simplified form of finding the arc length of y = 2x^7/5 from x=0 to x=4...haha...tried to make it easier for everyone! guess i failed

Answer 4

could i set x = a tan theta?

Answer 5

lemme draw...