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Module 4. Individual Home-Task
Integral Calculus of the Function of One Variable
Variant 1
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. Examine 
.
10. Calculate the area of the figure bounded by the lines: 
.
Variant 2
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. 
.
10. Calculate the area of every figure bounded by the circle 
and parabola 
.
Variant 3
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. 
.
10. Calculate the area of the curvilinear triangle bounded by the x- axis and the lines 
.
Variant 4
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. Exemine: 
.
10. Calculate the length of the arc of the line 
between the points
(0; 0) and (4; 8).
Variant 5
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. 
.
10. Calculate the area of the curvilinear triangle bounded by the x- axis and the lines 
.
Variant 6
Determine the following integrals:
1. 
. 2. 
. 3. 
.
4. 
. 5. 
. 6. 
.
7. 
. 8. 
. 9. Examine: 
.
10. Calculate the length of the arc of the line 
from 
to 
.
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