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hiralpatel121

  • 2 years ago

How can I solve the following attached calc problem?

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  1. hiralpatel121
    • 2 years ago
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  2. hiralpatel121
    • 2 years ago
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    Sample problem:

  3. Herp_Derp
    • 2 years ago
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    \[\int_a^b (f(t)+g(t)) dt=\int_a^b f(t)dt+\int_a^b g(t)dt\]

  4. coreylvaughn
    • 2 years ago
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    \[\sqrt[3]{t} = t ^{1/3}\]

  5. coreylvaughn
    • 2 years ago
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    \[\int\limits_{-1}^{1}t ^{1/3}-4\]

  6. coreylvaughn
    • 2 years ago
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    Do you know what to do from there?

  7. hiralpatel121
    • 2 years ago
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    No

  8. coreylvaughn
    • 2 years ago
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    Do you have a calculus textbook?

  9. coreylvaughn
    • 2 years ago
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    This is one of the first things you learn when integrating variables.

  10. hiralpatel121
    • 2 years ago
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    Yes but problems like these aren't provided as examples. These are basically challenges.

  11. coreylvaughn
    • 2 years ago
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    Add one to the exponent and divide the term by that sum.

  12. coreylvaughn
    • 2 years ago
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    \[\int\limits_{}^{}t ^{1/3} = {3 \over 4}t ^{4/3}\]

  13. coreylvaughn
    • 2 years ago
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    \[\int\limits_{?}^{?}-4 dt = -4t\]

  14. hiralpatel121
    • 2 years ago
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    3/4t^4/3 - 4t

  15. hiralpatel121
    • 2 years ago
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    then: (3/4-4)-(3/4+4). Right?

  16. coreylvaughn
    • 2 years ago
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    \[{3 \over 4}t ^{4/3}-4t\]

  17. coreylvaughn
    • 2 years ago
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    Close. (-1)^(4/3) = -1

  18. coreylvaughn
    • 2 years ago
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    {(3/4) - 4} - {(-3/4) + 4}

  19. hiralpatel121
    • 2 years ago
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    Answer: -8

  20. hiralpatel121
    • 2 years ago
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    What about this:

  21. hiralpatel121
    • 2 years ago
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    Sample:

  22. coreylvaughn
    • 2 years ago
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    No. Not -8

  23. hiralpatel121
    • 2 years ago
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    But that's what I plugged in and it's right.

  24. coreylvaughn
    • 2 years ago
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    You had the equation worked out wrong. I said "Close".

  25. coreylvaughn
    • 2 years ago
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    I mean, expression. You had the expression written out wrong based on the -1.

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