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Math Help - need help on integrating this

  1. #1
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    Question need help on integrating this

    How would you find the integral of (10 + x^2)^2 dx
    Would you do integration by parts? Would you do the chain rule backwards?
    Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!
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  2. #2
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    Quote Originally Posted by zzsilver View Post
    How would you find the integral of (10 + x^2)^2 dx
    Would you do integration by parts? Would you do the chain rule backwards?
    Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!
    A little knowledge can be a dangerous thing. Expand and integrate term-by-term.
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  3. #3
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    Quote Originally Posted by zzsilver View Post
    How would you find the integral of (10 + x^2)^2 dx
    Would you do integration by parts? Would you do the chain rule backwards?
    Could someone give me a step by step explanation as to how to find the integral/antiderivative of the function above. Your help is much appreciated!
    \int(10+x^{2})^{2}dx=\int(100+20x^{2}+x^{4})dx=100  x+\frac{20}{3}x^{3}+\frac{1}{5}x^{5}+C
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  4. #4
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    thanks mr. fantastic

    cant believe i didnt think of that!
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