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# C4 watch

1. I'm confused with these style questions. I understand integration using the reverse chain rule but this looks like the product rule to me.

I can never get the answer to these. Can someone show me the method you would use for the 1st one?
2. (a) integral 2x(2x-3)^4 dx

if u = 2x-3
then 2x = u+3
taking the derivative of u = 2x-3 wrt x:
du/dx = 2
therefore (dx/du = 1/2)
so it's: { 1/2 integral [(u+3)(u)^4] du } = { 1/2 integral [u^5+3u^4] du }

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Updated: January 4, 2017
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