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Determine the following integrals:
1. . 2.
. 3.
.
4. . 5.
. 6.
.
7. . 8.
. 9. Examine:
.
10. Calculate the length of the arc of the line enclosed by the circle
.
Variant 15
Determine the following integrals:
1. . 2.
. 3.
.
4. . 5.
. 6.
.
7. . 8.
. 9.
.
10. Calculate the area of the figure bounded by the x- axis and the line .
Variant 16
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
.
Variant 17
Determine the following integrals:
1. . 2.
. 3.
.
4. . 5.
. 6.
.
7. . 8.
. 9.
.
10. The circle divided by the parabola
into two parts. Calculate their areas.
Variant 18
Determine the following integrals:
1. . 2.
. 3.
.
4. . 5.
. 6.
.
7. . 8.
. 9. Examine:
.
10. Calculate the length of the arc of the parabola intercepted by the line
.
Variant 19
Determine the following integrals:
1. . 2.
. 3.
.
4. . 5.
. 6.
.
7. . 8.
. 9.
.
10. Calculate the area of the figure bounded by the lines and
.
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