Completing the square with this polynomial?

77 Views Asked by At

$$\int \dfrac{1}{\sqrt{4x^2+4x+17}}\,dx$$

So far I have only worked with polynomials of the type $x^2$, not $Ax^2$ what should I do to complete the square in this case?

1

There are 1 best solutions below

3
On BEST ANSWER

$$\sqrt{4x^2+4x+17}=2\sqrt{x^2+x+\frac{17}4}=2\sqrt{(x+\frac12)^2+4}$$