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    Integration by Substitution

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    7) Determine the integral (square root of 9x^2 + 4) /x^4 dx

    © BrainMass Inc. brainmass.com October 7, 2022, 6:08 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integration-substitution-170536

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    7)determine the integral (square root of 9x^2 + 4) /x^4 dx

    We will use substitution method to evaluate the integral.
    Let
    And

    Substituting to the above integral:

    Where c is integration constant.

    Now we need to find sinu in terms of x
    We used the substitution
    In the following right triangle, we use x and 2/3 as the two sides. Then

    The hypotenuse is
    And
    Substituting sinu to the integral result gives

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 7, 2022, 6:08 pm ad1c9bdddf>
    https://brainmass.com/math/integrals/integration-substitution-170536

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