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anonymous

  • 5 years ago

Evaluate the definite integral. 6 to 4 (3x2−4x+5)dx hi guys i need help ?

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  1. anonymous
    • 5 years ago
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    do you know how to integrate polynomials?

  2. anonymous
    • 5 years ago
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    i tried but i could not solve this problem

  3. anonymous
    • 5 years ago
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    Possible intermediate steps: integral (5-4 x+3 x^2) dx Integrate the sum term by term and factor out constants: = 3 integral x^2 dx+ integral 5 dx-4 integral x dx The integral of x^2 is x^3/3: = x^3+ integral 5 dx-4 integral x dx The integral of x is x^2/2: = x^3-2 x^2+ integral 5 dx The integral of 5 is 5 x: = x^3-2 x^2+5 x+constant

  4. anonymous
    • 5 years ago
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    then by applying newton's Newton leibniz you would plug in 4 and 6 to solve.

  5. anonymous
    • 5 years ago
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    =(x^3 - 2x^2 +5x) then evaluate it at 6 then subtract (x^3 - 2x^2 +5x) evaluated at 5

  6. anonymous
    • 5 years ago
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    its a definite integral so no plus c stuff

  7. anonymous
    • 5 years ago
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    Take the indefinite integrate of each individual term using the laws of integration. Next, evalute your answer at each endpoint..then subtract your evaluation at 'a' from your evaluation at 'b'

  8. anonymous
    • 5 years ago
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    \[\int\limits_{4}^{6}3x ^{2}-4x +5 dx = [x ^{3}-2x ^{2}+5x ] |_{4}^{6}\]

  9. anonymous
    • 5 years ago
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    sorry i meant evaluated at 4 typo

  10. anonymous
    • 5 years ago
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    \[\int\limits_{4}^{6} (3x^2-4x+5)dx\]

  11. anonymous
    • 5 years ago
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    \[6^3 -4(6) + 5(6) -(4^3 -4(4) +5(4))\]

  12. anonymous
    • 5 years ago
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    smart, are you still confused? it is pretty straight forward from here. nosmada has explained it just now too.

  13. anonymous
    • 5 years ago
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    \[6^3−4(6)^2+5(6)−(4^3−4(4)^2+5(4)) \] sorry disregard that last one

  14. anonymous
    • 5 years ago
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    it says the answer is incorrect

  15. anonymous
    • 5 years ago
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    the answer is 82 or not?

  16. anonymous
    • 5 years ago
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    Thanks man for helping me.. it is incorrect.

  17. anonymous
    • 5 years ago
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    no wiat you have to evaluate the polynomial I posted. the one nmosmada posted is incorrect. use mine and solve.

  18. anonymous
    • 5 years ago
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    \[6^{3}-2(6)^{2}+5(6)-(4^{3}-2(4)^{2}+5(4))\] that is the correct one. you should get 132 i think

  19. anonymous
    • 5 years ago
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    it's not correct

  20. anonymous
    • 5 years ago
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    oh well, too bad. I did the procedure correctly. maybe your book has an error in it.

  21. anonymous
    • 5 years ago
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    thanks man

  22. anonymous
    • 5 years ago
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    you are welcome. :)

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