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Thread: Antidifferntiation!

  1. #1
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    Antidifferntiation!

    Evaluate the indefinite integral:
    .


    I have a huge problem with antidifferntiating these kinds of problems. Can someone help me?!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by MathNeedy18 View Post
    Evaluate the indefinite integral:
    .


    I have a huge problem with antidifferntiating these kinds of problems. Can someone help me?!
    What is the derivative of $\displaystyle \sqrt{2y^2+5}$ with respect to $\displaystyle y $?

    RonL
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  3. #3
    Math Engineering Student
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    Quote Originally Posted by MathNeedy18 View Post
    $\displaystyle \int {\frac{{3y}}
    {{\sqrt {2y^2 + 5} }}\,dy} = \frac{3}
    {2}\int {\frac{{\left( {2y^2 + 5} \right)'}}
    {{2\sqrt {2y^2 + 5} }}\,dy} = \frac{3}
    {2}\sqrt {2y^2 + 5} + k.$
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