Mathematics

9th -

University

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5.1 and 5.2 #4 Integration Power Rule and Substitution FINAL

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  • 1. Multiple Choice
    5 minutes
    1 pt

     2x3(15x2+8)dx\int_{ }^{ }2x^3\left(15x^2+8\right)dx  

     30x6+16x4+C30x^6+16x^4+C 

     307x7+4x4+C\frac{30}{7}x^7+4x^4+C  

     5x5+4x3+C5x^5+4x^3+C  

     5x6+4x4+C5x^6+4x^4+C  

  • 2. Multiple Choice
    5 minutes
    1 pt

     5(x34)x5dx\int_{ }^{ }\frac{-5\left(x^3-4\right)}{x^5}dx  

    Write your final answer as a single fraction

     5x9+30x69+C\frac{-5x^9+30x^6}{9}+C  

     5x35x4+C\frac{5x^3-5}{x^4}+C  

     5x3+20x4+C\frac{-5x^3+20}{x^4}+C  

     5x35x5+C\frac{5x^3-5}{x^5}+C  

  • 3. Multiple Choice
    5 minutes
    1 pt

     15xdx\int_{ }^{ }\frac{1}{5\sqrt{x}}dx  

     25x12+C\frac{2}{5}x^{\frac{1}{2}}+C  

     52x12+C\frac{5}{2}x^{\frac{1}{2}}+C  

     110x32+C\frac{-1}{10x^{\frac{3}{2}}}+C  

     110x32+C\frac{1}{10x^{\frac{3}{2}}}+C  

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