# Thread: Help with Integral please!

1. ## Help with Integral please!

Can someone please show me how to solve this integral? This problem looks easy, but for some reason is not.

PS - This is not Homework, it is for personal practice

Thank you very much.

2. ## Re: Help with Integral please!

Originally Posted by Shadow236
Can someone please show me how to solve this integral? This problem looks easy, but for some reason is not.

PS - This is not Homework, it is for personal practice

Thank you very much.
This is a u substitution.

Let $u=5s+4 \implies du=5ds \iff ds=\frac{du}{5}$

Putting this into the integral gives

$\int \frac{1}{\sqrt{5s+4}}ds=\int \frac{1}{\sqrt{u}}\frac{du}{5}=\frac{1}{5}\int u^{-\frac{1}{2}}du$

Now just use the power rule for integration and finsh. Post back if you get stuck

3. ## Re: Help with Integral please!

I see now. I was able to solve it. Thank you.