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11th

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Integrals of Transcendental Functions: Natural Logarithms

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  • 1. Multiple Choice
    5 minutes
    1 pt

     (1x3)dx\int\left(\frac{1}{x^3}\right)dx  (Hint: This is a trick question. Be careful!)

    ln| x3x^3 | + C

     1x2\frac{1}{x^2}   + C

     3x4-\frac{3}{x^4}   + C

     12x2+C-\frac{1}{2x^2}+C  + C

  • 2. Multiple Choice
    5 minutes
    1 pt

     1xdx\int\frac{1}{x}dx  

    ln|x| + C

     1x2-\frac{1}{x^2}  + C

     1x2\frac{1}{x^2}  + C

    1 + C

  • 3. Multiple Choice
    5 minutes
    1 pt
    Image

    1(2x2+6)2+C\frac{1}{\left(2x^2+6\right)^2}+C

    ln2x2+64x+C\ln\left|\frac{2x^2+6}{4x}\right|+C

    12x2+6+C\frac{1}{2x^2+6}+C

    ln2x2+6+C\ln\left|2x^2+6\right|+C

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