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Please submit your Homework 6 assignment here as a Word or PDF attachment.

Homework 6 (all problems are in the textbook):

page 273-274 # 3, 8, 18, 27, 36, 43

evaluate the definite integral by the limit definition.

1)

2)

Set up a definite integral that yields the area of the region. (do not evaluate the integral.)

[Take picture]

Sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral.

27)

Evaluate the integral using the fallowing values.

36)

Using properties of definite integrals given

43) And

Evaluate

(a)

(b)

(c)

(d)

page 288-290 # 5, 10, 13, 22, 29, 88

Evaluate the definite integral. Use a graphing utility to verify your result.

5)

10)

13) ᶱ

22)

29)

Find f’(x).

88)

page 301 # 5, 7, 10, 12, 18, 22

find the indefinite integral cheek the result by differentiation.

5)

7)

10)

12)

18)

22)

page 310 # 1, 4

use the trapezoidal rule and Simpson’s rule to approximate the value of the definite integral for the given value of n. round your answer to four decimal places and compare the result with the exact value of the definite integral.

1)

4)

8)

page 351 # 3, 8, 12, 20, 25

evaluate:

3)

8)

12) Determine then, check your answer by differentiating it.

use substitution to determine:

20)

25)