Integral de 2 elevado a 2x?

<img src="https://tex.z-dn.net/?f=%5Cint%20%5C%3A2%5E%7B2x%7Ddx" />

Aplicar integración por sustitución : <img src="https://tex.z-dn.net/?f=%5Cint%20f%5Cleft%28g%5Cleft%28x%5Cright%29%5Cright%29%5Ccdot%20g%5E%27%5Cleft%28x%5Cright%29dx%3D%5Cint%20f%5Cleft%28u%5Cright%29du%2C%5C%3A%5Cquad%20u%3Dg%5Cleft%28x%5Cright%29" />

<img src="https://tex.z-dn.net/?f=u%3D2x%5Cquad%20%5C%3Adu%3D2dx" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BSustituir%3A%7D%5C%3Au%3D2x" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdu%7D%7Bdx%7D%3D2" />

<img src="https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3Adu%3D2dx" />

<img src="https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3Adx%3D%5Cfrac%7B1%7D%7B2%7Ddu" />

<img src="https://tex.z-dn.net/?f=%3D%5Cint%20%5C%3A2%5Eu%5Ccdot%20%5Cfrac%7B1%7D%7B2%7Ddu" />

<img src="https://tex.z-dn.net/?f=%3D%5Cint%20%5C%3A2%5E%7Bu-1%7Ddu" />

<img src="https://tex.z-dn.net/?f=%3D%5Cint%20%5C%3A2%5Eu%5Ccdot%20%5C%3A2%5E%7B-1%7Ddu" />

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