integrate: cos^4(2x)sin(2x)dx

Im mostly having trouble because leibnitz notation makes very little sense to me. I get the concept of subbing for a dummy variable like u. But then how do you choose du? and why is the chain rule used?
integrate: cos^4(2x)sin(2x)dx

Im mostly having trouble because leibnitz notation makes very little sense to me. I get the concept of subbing for a dummy variable like u. But then how do you choose du? and why is the chain rule used?
@Mathematics

Question

integrate: cos^4(2x)sin(2x)dx

Im mostly having trouble because leibnitz notation makes very little sense to me. I get the concept of subbing for a dummy variable like u. But then how do you choose du? and why is the chain rule used?
 integrate: cos^4(2x)sin(2x)dx

Im mostly having trouble because leibnitz notation makes very little sense to me. I get the concept of subbing for a dummy variable like u. But then how do you choose du? and why is the chain rule used?
 @Mathematics

anonymous · Answer

http://www.wolframalpha.com/input/?i=integrate+cos%5E4%282x%29sin%282x%29 Click on "Show steps"