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    Warm Up Exercise Mat235

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    Auni areefah Mohd pathiuddin
    This document provides a warm-up exercise with 22 integration problems to solve. It also lists important formulas for solving basic indefinite integrals involving logarithmic, exponential, trigonometric and algebraic functions that may be useful in solving the problems. The goal is to use the integration techniques and formulas provided to evaluate each of the definite integrals.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Warm Up Exercise Mat235

    Uploaded by

    Auni areefah Mohd pathiuddin
    34 views1 page
    This document provides a warm-up exercise with 22 integration problems to solve. It also lists important formulas for solving basic indefinite integrals involving logarithmic, exponential, trigonometric and algebraic functions that may be useful in solving the problems. The goal is to use the integration techniques and formulas provided to evaluate each of the definite integrals.

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    Original Title

    WARM UP EXERCISE MAT235

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    This document provides a warm-up exercise with 22 integration problems to solve. It also lists important formulas for solving basic indefinite integrals involving logarithmic, exponential, trigonometric and algebraic functions that may be useful in solving the problems. The goal is to use the integration techniques and formulas provided to evaluate each of the definite integrals.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    34 views1 page

    Warm Up Exercise Mat235

    Uploaded by

    Auni areefah Mohd pathiuddin
    This document provides a warm-up exercise with 22 integration problems to solve. It also lists important formulas for solving basic indefinite integrals involving logarithmic, exponential, trigonometric and algebraic functions that may be useful in solving the problems. The goal is to use the integration techniques and formulas provided to evaluate each of the definite integrals.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 1

    WARM-UP EXERCISE MAT235

    Solve the following integrations.

     x dx 10
    5
    1.
    12.
     x  1 dx
     x  x  3 dx
    5
    2. 1
      x  5  x  3 dx 13.
     2 x  1 dx
    3.
    10
      x  3 dx   x  1
    5
    2
    dx
    4.
    14.
     x  x  3 dx
    2 5

    5. 2
     x  5   x  3 dx   x  3 3
    dx

    6.
     x
    15.
    1
     x  5   x  3 dx  5x dx
     3x
    16.
    e
    5x
    7. dx
    17.
      2 x  3  x  3 x  dx
    2 5
    1
    8. x
     e 2 dx
      6x  9  x  3 x  dx
    2 4
    18.
    9.
    19.  cos  8x  dx
    10.  x  3 dx 1 
     x  3 dx
    3  sin  3 x  dx
    11. 20.
     x  x  3 dx
    3

    21.

    22.  2 x x  5 dx

    IMPORTANT FORMULA:

    1
     x dx  ln  x   c
    1 1 1 1
     ax dx  a  x dx  a ln  x   c (where a is a constant)

    1 1
     ax  b dx  a ln  ax  b   c (where a,b is the constant)

     e dx  e c
    x x

    1 x
    e dx  e c
    ax

    a (where a is a constant)

    1
     cos  ax  dx  a sin  ax   c (where a is a constant)

    1
     sin  ax  dx   a cos  ax   c (where a is a constant)

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