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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
.
Variant 8
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 9
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 10
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 11
Determine the following integrals:
1.
. 2.
. 3.
.
4.
. 5.
. 6.
.
7.
. 8.
. 9.
.
10. Calculate the area of the figure bounded by the lines
та
.
Variant 12
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 13
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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