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Mathematics

University

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Integration

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Izni Rais

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10 questions

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  • Multiple Choice
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    1 minute
    1 pt

    Which of the following is TRUE ?

    ∫sin⁡ x dx = cos⁡ x +c\int_{ }^{ }\sin\ x\ \ dx\ =\ \cos\ x\ +c

    ∫ex dx = ex+1x+1 + c\int_{ }^{ }e^x\ \ dx\ =\ \frac{e^{x+1}}{x+1}\ +\ c

    ∫ 1x dx = ln⁡ ∣x ∣ +c\int_{ }^{ }\ \frac{1}{x}\ \ dx\ =\ \ln\ \left|x\ \right|\ +c

    ∫ x dx = 1 + c\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c

  • Multiple Choice
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    1 minute
    1 pt

     ∫x3 −π dx  =\int_{ }^{ }x^3\ -\pi\ dx\ \ =  

     3x2 + c3x^2\ +\ c  

     x44 + c\frac{x^4}{4}\ +\ c  

     x44 − πx\frac{x^4}{4}\ -\ \pi x  

     x44 − πx + c\frac{x^4}{4}\ -\ \pi x\ +\ c  

  • Multiple Choice
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    1 minute
    1 pt

    What is  ∫ 5x6 dx\int_{ }^{ }\ \frac{5}{x^6}\ dx  ?

     5x−6 + c5x^{-6}\ +\ c  

     5x−5 + c5x^{-5}\ +\ c  

     −54x4 + c-\frac{5}{4x^4}\ +\ c  

     −1x5 + c-\frac{1}{x^5}\ +\ c  

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