# Math Help - Antidifferntiation!

1. ## Antidifferntiation!

Evaluate the indefinite integral:
.

I have a huge problem with antidifferntiating these kinds of problems. Can someone help me?!

2. Originally Posted by MathNeedy18
Evaluate the indefinite integral:
.

I have a huge problem with antidifferntiating these kinds of problems. Can someone help me?!
What is the derivative of $\sqrt{2y^2+5}$ with respect to $y$?

RonL

3. Originally Posted by MathNeedy18
$\int {\frac{{3y}}
{{\sqrt {2y^2 + 5} }}\,dy} = \frac{3}
{2}\int {\frac{{\left( {2y^2 + 5} \right)'}}
{{2\sqrt {2y^2 + 5} }}\,dy} = \frac{3}
{2}\sqrt {2y^2 + 5} + k.$