Haresh Shah’s Math Tutorials XI , XII STD 2025-26
1
Practice Sheet
1.
241
3sec x 7 dx
x2x
2.
2
1
x dx
x
3.
22
cos2x dx
sin xcos x
4.
32xx
x sin cos 1 dx
22
5.
2
2
1 tan 3x dx
1 tan 3x
6.
2
2x 4x 5 dx
x1
7.
33
32
2
1
dx 1 5 2 3 1
3
2 x x
8.
2
0
1 cos4x dx
2
9.
9
1
x1
dx
x
64
3
10.
42
0
cos xdx
14
11.
4
0
1 sin2x dx
1
12.
4
4
1dx
1 sinx
=2
