indefinite integral

[degreeplus]

I am having trouble remembering how to solve a few types of indefinite integrals

Problem:

Indifinite integral of (-2x+5)^(3/2)dx

so do I expand it so it becomes (-8x^3-20x^2-150x+125)^(1/2)dx?
then take the indifinite integral of each part?

 

[pka]

\(\displaystyle \int {\left( { - 2x + 5} \right)^{\frac{3}{2}} dx = \frac{{ - 1}}{{5}}\left( { - 2x + 5} \right)^{\frac{5}{2}} + C}\)

 

[Unco]

I am having trouble remembering how to solve a few types of indefinite integrals

Problem:

Indifinite integral of (-2x+5)^(3/2)dx

so do I expand it so it becomes (-8x^3-20x^2-150x+125)^(1/2)dx?
then take the indifinite integral of each part?

Your expansion is incorrect, but, more importantly, in general (a + b)^(1/2) is not equal to a^(1/2) + b^(1/2). It might be a good idea for you to differentiate pka's answer, so that you can begin to comprehend how to reverse the process (i.e., integrate). You might also like to consider u-substitution.