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jorourk3

  • 2 years ago

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

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  1. jorourk3
    • 2 years ago
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    we havent learned rules of multiplication when it comes to antiderivatives yet...so not sure how to handle it

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

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

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

  5. jorourk3
    • 2 years ago
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    ya plus the constant

  6. jorourk3
    • 2 years ago
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    thx!

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

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

  9. Jusaquikie
    • 2 years ago
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    sure

  10. jorourk3
    • 2 years ago
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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

  11. jorourk3
    • 2 years ago
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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

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

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

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

  15. jorourk3
    • 2 years ago
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    oooo ok thx

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

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

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

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

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

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

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

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