Integration through substitution

[vhlavin]

Hi, I'm having trouble with this problem that involves integrating through substitution. I have to use this method because we did not learn the quotient or power rule of integration yet.

This is how I set up u and du but I don't know what other manipulation I need to do to account for the 5 in the denominator.

 

[Deleted member 4993]

Hi, I'm having trouble with this problem that involves integrating through substitution. I have to use this method because we did not learn the quotient or power rule of integration yet.

This is how I set up u and du but I don't know what other manipulation I need to do to account for the 5 in the denominator.

\(\displaystyle \dfrac{dx}{5\sqrt{x}} \ - \ \dfrac{2 dx}{2*5\sqrt{x}} \ = \ \dfrac{2 du}{5} \)