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Integrales: funciones logarítmicas y exponenciales

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  • 1. Multiple Choice
    15 minutes
    1 pt


     8x+6x2dx=?\int\frac{8x+6}{x^2}dx=?  

     8ln(x)6x+c8\ln\left(x\right)-\frac{6}{x}+c  

     ln(x)6x+c\ln\left(x\right)-6x+c  

     8ln(x)6x+c8\ln\left(x\right)-6x+c  

     ln(x)86x+c\frac{\ln\left(x\right)}{8}-\frac{6}{x}+c  

  • 2. Multiple Choice
    15 minutes
    1 pt

      2senx2x+cosxdx\int\ \frac{2-senx}{2x+\cos x}dx  

     ln2x+cosx+c\ln\left|2x+\cos x\right|+c  

     lnxlncosx+c\ln\left|x\right|-\ln\left|\cos x\right|+c  

     ln2senx+c\ln\left|2-senx\right|+c  

     ln2xlncosx+c\ln\left|2x\right|-\ln\left|\cos x\right|+c  

  • 3. Multiple Choice
    15 minutes
    1 pt

    Integra la siguiente función  f(x)=e2x5+e2xf\left(x\right)=\frac{e^{2x}}{5+e^{2x}}  

     ln5+e2x+c\ln\left|5+e^{2x}\right|+c  

     2ln5+e2x+c2\ln\left|5+e^{2x}\right|+c  

     12ln5+e2x+c\frac{1}{2}\ln\left|5+e^{2x}\right|+c  

     12lne2x+c\frac{1}{2}\ln\left|e^{2x}\right|+c  

     15ln5+e2x+c\frac{1}{5}\ln\left|5+e^{2x}\right|+c  

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