#### Archived

This topic is now archived and is closed to further replies.

# integration

This topic is 5932 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

## Recommended Posts

How would you integrate the following function? f(x) = sin(x) + cos(x)

##### Share on other sites
Looks like homework (is it??)

##### Share on other sites
Yes it is homework, but my result doesen''t match with the calculators value...

cos(x) - sin(x)

##### Share on other sites
Think about how the derivatives of sin and cos relate to each other, and then work backwards. The idea being that integration is sort of anti-differentiation.

Miles

[EDIT: should homework threads be discouraged entirely?]

[edited by - Miles Clapham on September 13, 2002 7:22:33 AM]

##### Share on other sites
You''re lucky Graham hasn''t noticed this thread yet, otherwise it would have been closed very quicky.

Death of one is a tragedy, death of a million is just a statistic.

##### Share on other sites
∫sin(x) + cos(x) dx = ∫sin(x) dx + ∫cos(x) dx

That''s the first step

##### Share on other sites
quote:
Original post by Beer Hunter
∫sin(x) + cos(x) dx = ∫sin(x) dx + ∫cos(x) dx

That's the first step

Or even ∫ f(x) dx = ∫ sin(x) + cos(x) dx

[EDIT: Thanks Beer Hunter ]

[edited by - Miles Clapham on September 13, 2002 8:13:43 AM]

##### Share on other sites

f(x) = (sin(x) + cos(x))^2

on my calculator I get "(cos(x))^2 + 1", and I calculate it to "x".

Can anyone help???

##### Share on other sites
Miles Clapham - for the integration sign, you have to type &#8747;

everything else

jarod83 - I guess you'd multiply that out, integrate each term individually, then simplify... but I can't check it right now.

[edited by - Beer Hunter on September 13, 2002 8:15:25 AM]

##### Share on other sites

This topic is 5932 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

This topic is now closed to further replies.

1. 1
2. 2
3. 3
Rutin
20
4. 4
5. 5
khawk
14

• 9
• 11
• 11
• 23
• 10
• ### Forum Statistics

• Total Topics
633653
• Total Posts
3013152
×