DEFINITE INTEGRAL INVOLVING SQUARE ROOT WORKSHEET

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Find the area bounded by 

y = √x, the x-axis, x = 1 and x = 4

Solution

Problem 6 :

Find the area bounded by 

y = x √x, the x-axis, x = 1 and x = 9

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

The shaded region has area 5 square units. Find k to the 3 decimal places.

indefinite-integral-with-square-root

Solution

Answer Key

1) 73/3

2)  14/3

3)  8/3

4)  -61/2

5)  14/3 square units

6)  96.8 square units

7)  8 square units

8)  (94√2 - 56)/15 square units

9)  (225/4)1/3

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