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Hemant
Lv 7
Hemant asked in Science & MathematicsMathematics · 1 decade ago

Integrate the following function w.r.t. x :?

f (x) = ( x^3 + a^3 + b^3 - 3abx ) / ( x + a + b ).

Update:

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1. @don1n8 : is that your complete answer ?

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2. @ aja : check every term for correct sign.

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3 Answers

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  • сhееsеr1
    Lv 7
    1 decade ago
    Favorite Answer

    This question is stupid. Just cancel:

    f(x) = a² - ab + b² - (a+b) x + x²

    Then use (dramatic, sarcastic pause) the power rule:

    ∫ f(x) dx = (a² - ab + b²)x - (a+b)x²/2 + x³/3

  • aja
    1 decade ago

    with respect to x;

    x^3/3 + 1/2 (-a-b)x^2 + (a^2-ab-b^2)x

  • don1n8
    Lv 4
    1 decade ago

    1/3*x^3-1/2*x^2*a-1/2*x^2*b-a*b*x+a^2*x+b^2*x

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