Question

Question #6978d

Answer 1

`sqrt(3)x+C`

Explanation:

`int sqrt(4-x^2/x^2)dx` can be simplified to....

`int sqrt(4-1)dx`

= `int sqrt(3)dx`

Now, remember the rule that :`int bx dx=bintx dx`
Therfore, `int sqrt(3)dx=sqrt3int1dx`
Using the anti-power rule, we know that:`int 1=(x)/1 =>x`
Now, we multiply this by `sqrt3` to get `sqrt3x`

Now, since constants do not affect the derivication process, we just turn `sqrt3x` to `sqrt(3)x+C`

P.S. Don't forget the constant due to no limits!!!