Page 72 - DMTH202_BASIC_MATHEMATICS_II

Unit 4: Definite Integral

4 Notes
8. Evaluate the integral  3x  7dx
1
5
1
9. Evaluate the integral  dx

0 1 2x
1 1
10. Evaluate the integral  dx
 1 2x  3
3
2
x
11. Evaluate the integral  (x  3 )dx
1
1/2
dx
12. Evaluate the integral  dx

0 1 x
Answers: Self Assessment

1. b – a
2. width
3. f(x)

4. limiting
b
a
f
x
h

)
h
h
h

5.  f ( )dx  lim [ ( )  ( f a h  ( f a  2 )  ( f a  3 )   ( f a n  1 ]
h  0
a
6. ab-initio
 2
 ( n n  1)
7.   
 2 
  n  1    nh 
h
cos a     sin  
  2    2 
 
8.  h 
sin  
 2 
( n n  1)(2n  1)
9. 
6
 2
 ( n n  1)
10.   
 2 
11. Fundamental theorem of integral calculus
b
12. F   x  a   F ( ) F ( )
a
b

13. value
14. limit of a sum
15. integrand

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