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Here the values of ‘x’ are divided into 4 equal intervals as 0, 0.25, 0.50, 0.75 and 1.

These numbers are regularly spaced, and hence the space, h = 0.25.

If x= 0, then √(2x) = 0

If x= 0.25, then √(2x) = 0.707

If x= 0.50, then √(2x) = 1

If x= 0.75, then √(2x) = 1.22

If x= 1, then √(2x) = 1.414

Applying the trapezoid rule we get: 1/2* 0.25* (0+ 1.414+ 2(0.707+ 1+ 1.22))

This gives the area= 0.9085

Here the values of ‘x’ are divided into 4 equal intervals as 0, 0.25, 0.50, 0.75 and 1.

These numbers are regularly spaced, and hence the space, h = 0.25.

If x= 0, then √(3x+ 1) = 1

If x= 0.25, then √(3x+ 1) = 1.75

If x= 0.50, then √(3x+ 1) = 2.50

If x= 0.75, then √(3x+ 1) = 3.25

If x= 1, then √(3x+ 1) = 2

Applying the trapezoid rule we get: 1/2* 0.25* (1+ 1.75+ 2(1.75+ 2.50+ 3.25))

This gives the area= 2.22