Archimedes's Method

Q. Integration can be regarded as a process of summation.

1. False
2. True

Q.

The method of exhaustion is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.

1. True

2. False

Q. The rate of convergence to the area of a semicircle is proportional to the number of sides of the polygon inscribed in it.

1. directly
2. indirectly
3. not

Q. In Archimedes's method for finding the area of a curve(function), we divide the area into intervals of width ‘1 unit’ and construct rectangles of width ‘1 unit’ and height as the value of the function on the rightmost point of the interval.

1. True
2. False