integration

So with integration you're always supposed to add a "+c". Like in question 19, when you integrate the equation in the answers they have a "+c". However, in question 20 when they integrated it there is no "+c". And when working with graphs, you don't add "+c" when you integrate the equation. Could someone please explain when to add "+c" and when to not.

(edited 10 months ago)

Reply 1

strawberry lover

OP

9

Here are the screenshots.

integration question.png77.4KB

integration answer.png62.8KB

Reply 2

gglr

11

Since you have limits on question 20 you don’t need the +c but question 19 doesn’t have limits hence why it’s needed

Reply 3

Notnek

21

Original post by strawberry lover

Here are the screenshots.

If you integrate with limits then the C cancels out. Try adding +C and you’ll see for yourself.

Reply 4

strawberry lover

OP

9

Original post by Notnek

If you integrate with limits then the C cancels out. Try adding +C and you’ll see for yourself.

ahhhhh ok. That makes sense. So the rule is when there are limits, you don't need to add the "+C" because they cancel out. Thank you both : )

Reply 5

Kallisto

Entertainment Forum Helper

22

Original post by strawberry lover

So with integration you're always supposed to add a "+c". Like in question 19, when you integrate the equation in the answers they have a "+c". However, in question 20 when they integrated it there is no "+c". And when working with graphs, you don't add "+c" when you integrate the equation. Could someone please explain when to add "+c" and when to not.

Question 19 has no concrete limits in the integral in contrast to 20. The integration in number 19 gives you a concrete value, number 20 doesn't. The added constant + c means that the integrated term goes for all the limits and values.

integration

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