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Integration Exercise 8C

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11 views2 pages

Integration Exercise 8C

Uploaded by

CBoon's Vlogs
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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8.

3 Integration of

TIP

WORKED EXAMPLE 8.3

Find .

Answer

Write .

TIP

can be written as or . Do
not confuse with .

EXERCISE 8C

1 Work out the following integrals.

f
2 Evaluate each of the following integrals, giving your answer in an exact form.

3 Show that where is an integer to be found.

PS 4 Calculate the area of the shaded region in the graph represented by

, where B is the intersection of the graph with the

-axis. Give your answer as an exact value in the form .

PS 5 Show that , where and are integers to

be found.
6 a Find the area of the region enclosed by the curve with equation , the -
axis and the lines and .

b Find the volume generated when this area is rotated about the -axis.

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