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# Evaluate the integral.$\displaystyle \int \frac{xe^{2x}}{(1 + 2x)^2} dx$

## $$-\frac{x e^{2 x}}{2(1+2 x)}+\frac{1}{4} e^{2 x}+c$$

#### Topics

Integration Techniques

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### Video Transcript

The problem is, while I did the integral Ex temps into Truax over one past two acts on Squire. Yes, but this problem way can use my thirty off the integration by parts the formula is and to grow off you were from the axe. It's the culture. You times we'd minus the integral of your prom. Re the axe. Now our problem. We can let you the culture x e to chillax on the way from is equal to one over one plus two hams. Axe squire, then you prom is we use Fred doctoral here. So this is a need to shoo axe us x Times e to the X Sam's too. This's one pass to Ice City to relax on the torture Negative one off Ham's one over one Plus she lacks. Now use this formula. Anti growth of this function culture you, Tom Sue's. This's negative. X over two hams, one plus two x Me, too, she likes minus. You're prompt hams ways. This is minus and the girl off one plus two teach you to likes. I'm selective. One half one over one plus two wives. Yes, simplified dysfunction. Have this's the country nicked Iraq's two woks over two times. One passed she likes minus is a plus. Well, half and screw all of you to wax. Yes, The answer is this is the connective ex Thompson likes over two times one plus she likes plus one force into two wives and plus US number see.

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Integration Techniques

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