S=definite integral(a÷b)sqroot[1+(dy/dx)^2]
dy/dx=1/2sqroot(x)
(dy/dx)^2=1/4x
S=definite integral(0÷3)sqroot(1+1/4x)
If you don't know how to solve that integral in google type:
wolfram alpha
When you see list of results click on:
Wolfram Alpha:Computation Knowweledge Engine
When page be open in rectangle type:
sqroot(1+1/4x)
and click =
After few seconds you will see everything about that expresion.
In rectangle Indefinite integral:
click option Show steps
Find the definite integral that represents the arc length of the curve y=sqrt(x) over the interval [0, 3]
1 answer