Select all true statements about f(x) = sin(x²).


Select one or more:


1. the work is done by f(x) in [0,1] by 5 points and using Simpson's method is 0.31

2. the length of f(x) in [0,1] by 5 points and using Simpson's method is 1.48

3. the surface area resulted from revolving f(x) around the x-axis in [0,1] by using Simpson's and 5 points is 0.067

4. the surface area resulted from revolving f(x) around the x-axis in [0,1] by using Simpson's and 5 points is 2.96

5. the work is done by f(x) in [0,1] by 5 points and using Simpson's method is 0.006

6. the length of f(x) in [0,1] by 5 points and using Simpson's method is 1.47​