Integration, Mathematics, Exercises of Mathematics

Integration, Mathematics,2016,PCM

Typology: Exercises

2025/2026

Uploaded on 01/17/2026

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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
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

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Haresh Shah’s Math Tutorials XI , XII STD 2025-

Practice Sheet

3sec x 7 dx x (^2) x

2 1 x dx

x

2 2

cos2x dx sin x cos x

3 (^2) x x x sin cos 1 dx 2 2

2

2

1 tan 3x dx 1 tan 3x

2 2x 4x 5 dx x 1

  1.  

3 3 3 2 2

1

dx 1 5 2 3 1 2 x x^3

2

0

1 cos 4x dx

9

1

x 1 dx

x

4 2

0

cos x dx

 ^ 

  ^ 

4

0

1 sin2x dx

4

4

dx 1 sin x