# Integration: The Limit of a Sum

Find by the method of summation the value of :

a) The integral (from 0 to 1) of the square root of x. (dx)

b) The integral (from 1 to 4) of 1 divided by the square root of x. (dx)

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Integration as the limit of a sum (III)

Find by the method of summation the value of:

1 4

(a) âˆ« âˆšx dx (b) âˆ« 1/âˆšx dx

0 1

1

Solution: (a) âˆ« âˆšx dx Put âˆšx = t , then Â½ 1/âˆšx dx = dt or , dx = 2t dt

0 When x = 0 => t = 0

When x = 1 => t = 1

1

...

#### Solution Summary

This solution shows how to find the integral by the method of summation of the values in an attached Word file.

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