Calc help....?

$=integration symbol

$(12x+2)/(3x^2+x)dx

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  • Pascal
    Lv 7
    1 decade ago
    Favorite Answer

    No, $=dollar symbol. ∫=integration symbol.

    Let u=3x²+x, du=6x+1 dx

    ∫(12x+2)/(3x²+x) dx

    ∫2/u du

    2 ln |u| + C

    2 ln |3x²+x| + C

  • MsMath
    Lv 7
    1 decade ago

    Substitution!

    Let u = 3x^2 + x, then du = 6x+1 dx

    Notice that 12x+2 = 2(6x+1)

    Now substitute.

    integral

    = integral of (2/u) du

    = 2ln(u) + C

    = 2ln(3x^2 +x) + C

  • Anonymous
    1 decade ago

    using u substitutions

    set u = 3x^2+x, then du = (6x+1)dx

    so the integral becomes

    2$du/u

    =2 lnu + C

    substituting u back in:

    = 2 ln(3x^2 + x) + C

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