You are Here: Home >< Maths

# Is this right?Integration using substitution watch

1. The answer at the back of the book is different to what I got:|

Posted from TSR Mobile

2. Oops forgot a pic!

Posted from TSR Mobile
3. (Original post by livealittle)
Working

Oops forgot a pic!

Posted from TSR Mobile
Everything you've written down seems to be correct. By any chance, does the book not include the 2? If that's the case, they've just added it to the constant of integration since 2 is a constant term.

4. (Original post by livealittle)
The answer at the back of the book is different to what I got:|

Posted from TSR Mobile
What does the book say
5. (Original post by Khallil)
Everything you've written down seems to be correct. By any chance, does the book not include the 2? If that's the case, they've just added it to the constant of integration since 2 is a constant term.

Yeah the book doesn't include the 2.ohh so it is because 2 is not a variable of x?
I think I get it now ,Thanks
6. (Original post by TenOfThem)
What does the book say
2 x^1/2 - 2ln( 1+x^1/2)

Posted from TSR Mobile
7. (Original post by livealittle)
Yeah the book doesn't include the 2.ohh so it is because 2 is not a variable of x?
I think I get it now ,Thanks
Yep. 2 is a constant and doesn't depend on any value of x. As a result we can incorporate it into the constant of integration which also doesn't depend on x.

Here's a substitution that'll take you straight to the answer without the 2
8. (Original post by livealittle)
2 x^1/2 - 2ln( 1+x^1/2)

Posted from TSR Mobile
No +c
9. (Original post by Khallil)
Yep. 2 is a constant and doesn't depend on any value of x. As a result we can incorporate it into the constant of integration which also doesn't depend on x.

Here's a substitution that'll take you straight to the answer without the 2
Is zeta commonly used instead of C to denote the integration constant?
10. (Original post by TenOfThem)
No +c
Haha! I always forget the constant !

Posted from TSR Mobile
11. (Original post by Khallil)
Yep. 2 is a constant and doesn't depend on any value of x. As a result we can incorporate it into the constant of integration which also doesn't depend on x.

Here's a substitution that'll take you straight to the answer without the 2

Posted from TSR Mobile
12. (Original post by keromedic)
Is zeta a commonly used instead of C to denote the integration constant?
Nope, I just got bored of the letter c.

(Original post by livealittle)
You're welcome, glad you got it!

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 21, 2013
Today on TSR

### University open days

• Southampton Solent University
Sun, 18 Nov '18
Wed, 21 Nov '18
• Buckinghamshire New University
Wed, 21 Nov '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams