- #1

- 63

- 0

Find the primitives of the functions

(1+4x)/(sqrt(1+x+2x^2))

My question is 1. is a primitive the antiderivative? I dont remember my lecturer using primitive during our course!

- Thread starter Taryn
- Start date

- #1

- 63

- 0

Find the primitives of the functions

(1+4x)/(sqrt(1+x+2x^2))

My question is 1. is a primitive the antiderivative? I dont remember my lecturer using primitive during our course!

- #2

- 1,235

- 1

It is basically asking you to find:

[tex] \int \frac{1+4x}{\sqrt{1+x+2x^{2}}} \; dx [/tex]

A primitive is an antiderivative.

So set [tex] u = 1+x+2x^{2} [/tex]

Then [tex] du = 4x+1 \; dx [/tex] and you end up with [tex] \int u^{-\frac{1}{2}} \; du [/tex]. All the primitives mean that you add the integration constant [tex] C [/tex].

[tex] \int \frac{1+4x}{\sqrt{1+x+2x^{2}}} \; dx [/tex]

A primitive is an antiderivative.

So set [tex] u = 1+x+2x^{2} [/tex]

Then [tex] du = 4x+1 \; dx [/tex] and you end up with [tex] \int u^{-\frac{1}{2}} \; du [/tex]. All the primitives mean that you add the integration constant [tex] C [/tex].

Last edited:

- #3

- 63

- 0

ahhh thanks!

- Replies
- 7

- Views
- 2K

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 9

- Views
- 19K

- Last Post

- Replies
- 9

- Views
- 3K

- Replies
- 6

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 7K

- Replies
- 9

- Views
- 10K

- Last Post

- Replies
- 8

- Views
- 2K

- Replies
- 12

- Views
- 5K

- Last Post

- Replies
- 3

- Views
- 565