I-Sc. 1 – 16 Mathematics Quiz Date: 30/07/2020
Full Marks- 100
1) †hvwRZ dj wbY©q Ki (Find the integrals): 16 × 5 = 80
(i)
dx
xsin1
1
(ii)
dx
ee xx
1
(iii)
1
4
xx
dx
(iv)
x
dx
cos45
(v)
2
4415 xx
dx
(vi)
4
1
2
1
xx
dx
(vii)
x
dx
2
cos31
(viii)
xdxecx22 cossec
(ix)
dx
x
x
4
1
2
2
(x)
xdxe xsin
2
(xi)
xdxx
1
tan
(xii)
dxxx 22 )(ln
(xiii)
dx
x
xex
2
)1(
(xiv)
1
2
1214xx
dx
(xv)
dyyy
4
0
4
(xvi)
dx
xx
e
22
)(ln
1
ln
1
2)
)(i
1
49
22 yx
eµ‡iLv Øviv Ave× †ÿ‡Gi †ÿGdj wbY©q Ki|
[Find the area of the region bounded by the curve
1
49
22 yx
] 10
)(ii
1
22 yx
Ges
xy 1
2
eµ‡iLv `ywU Øviv ÿz`ªZi Ave× †ÿ‡Gi †ÿGdj wbY©q Ki|
[Find the area of the smaller region bounded by the curves
1
22 yx
and
xy 1
2
] 10
