How Can U-Substitution Simplify Integrating Complex Functions?

[dvmaz]

Hi

I have tried to integrate the following equation $$\int(3x^{2}+4)(2x^{3}+8x)^{-4}dx$$

I have tried to expand the brackets, but that would not work. Is there a way I can do this?

 

[Char. Limit]

Try a u-substitution, like u=2x^3 + 8x. It will work.

Just to let you know, your integral is missing a dx. That dx IS required.

 

[dvmaz]

Try a u-substitution, like u=2x^3 + 8x. It will work.

Just to let you know, your integral is missing a dx. That dx IS required.

Thank you. It worked and I put the dx