How do you integrate #int5xsqrt(2x+3)# using substitution?
This integral doesn't seem quiet obvious, so I will go through all the steps in high detail.
When evaluating integrals, it is sometimes a matter of trial and error, especially when it comes to u-substitutions.
For this particular integral, we may choose
We can, however, pull out a
Proceeding with the integration process, we can now rewrite our integral.
If we multiply everything into the parentheses and simplify we get
#=1/2u^(5/2) - 5/2 u^(3/2)+C#
#=1/2(2x+3)^(5/2) - 5/2(2x+3)^(3/2) + C#