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jorourk3 Group Title

find the antiderivative of (3x+10)(3x-10)

  • 2 years ago
  • 2 years ago

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  1. jorourk3 Group Title
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    we havent learned rules of multiplication when it comes to antiderivatives yet...so not sure how to handle it

    • 2 years ago
  2. Jusaquikie Group Title
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    you have to expand it then you do it like the other ones. \[9x^2-100\]

    • 2 years ago
  3. Jusaquikie Group Title
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    \[\frac{ 9x^3 }{ 3 }+100x +C\]

    • 2 years ago
  4. jorourk3 Group Title
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    oh ok so the antiderivative is 3x^3-100x

    • 2 years ago
  5. jorourk3 Group Title
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    ya plus the constant

    • 2 years ago
  6. jorourk3 Group Title
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    thx!

    • 2 years ago
  7. Jusaquikie Group Title
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    -100 not +100 sorry

    • 2 years ago
  8. jorourk3 Group Title
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    i have another question about antiderivatives if you could help please :)

    • 2 years ago
  9. Jusaquikie Group Title
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    sure

    • 2 years ago
  10. jorourk3 Group Title
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    the antiderivative of (x^.5+.5x^-.5)2 (the square root of x plus half times square root of x (in denominator))squared

    • 2 years ago
  11. jorourk3 Group Title
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    because if i do it the other way you did before (add the the expoenent) and divide by it.....it doesnt work because when you take the derivative you gotta take it of the inside function as well

    • 2 years ago
  12. Jusaquikie Group Title
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    how bout if you distribute the ^2 ?

    • 2 years ago
  13. Jusaquikie Group Title
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    x^2.5+.5x^1.5

    • 2 years ago
  14. Jusaquikie Group Title
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    then you can do it like normal

    • 2 years ago
  15. jorourk3 Group Title
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    oooo ok thx

    • 2 years ago
  16. jorourk3 Group Title
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    wouldnt you multiply the 2 not add it .....so it would be x+.5x^-1

    • 2 years ago
  17. Jusaquikie Group Title
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    nah think of 10^2 * 10^2 = 100*100=10,000 = 10^4

    • 2 years ago
  18. Jusaquikie Group Title
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    or 10^4* 10^2 = 10,000 * 100 = 1,000,000 = 10^6

    • 2 years ago
  19. jorourk3 Group Title
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    but thats because they have the same base.....(a^x)^y = a^xy not a^(x+y)

    • 2 years ago
  20. Jusaquikie Group Title
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    x^2 =(x)^2 = (x)x it's all the same

    • 2 years ago
  21. Jusaquikie Group Title
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    pull out your calculator and try some examples just plug in any number for x

    • 2 years ago
  22. ASAAD123 Group Title
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    • 2 years ago
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  23. mikel86 Group Title
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    3x^3-100x+constant

    • 2 years ago
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