Notes #14-Review of Integraton PDF

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Professor Bianca Santoro...

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Notes #14: REVIEW OF INTEGRATION Before we learn a new integration technique let’s review the integrals we know so far. 

1.

4.

sin 4xdx

x

2

2.

3

sin x dx 2 x

 cos

3.

 6

1  x dx

2x dx 5.  2 x 2

cos3x

6.

2x

x

2

2

dx

dx

7.

10.

3

2x

sec 2  32x  dx

8.

cot x 2 2 csc xdx

11.

sin x cos x 3

sin   cos   5 d 

9.

cos e sin  d

7

14.

dx

15.

x cos x 2



sin x2

12.

dx



2x 1 x 4

dx

ex 1  ex dx

16.

13.

 t 1



t2

2

dt

tan 5xdx

2

2

6

ln x dx

17.

y 1  y 

19.

x

20.

arctan 7xdx

dy

18.

 1

x dx

21.

x

dx

2

25  x2

2

22.



25  x dx x

x

23.



25.

cos3 x  sin2 x  cos 2 x dx

2

x 9

dx

24.



dx x2  9

26.

x 3

x  2 dx

2x  3

27.

9  x

28.

sin

2

2

dx

x cos 3 xdx

x2  3 dx x

29.



30.

sec xdx (hard problem) 3...