how do you find the integral from 0 to k?

∫ (2kx - x^2)dx = 18 from 0 to k

What does k = ?

Please explain how to figure this out

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  • 9 years ago
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    k

    ∫ (2kx - x^2)dx = 18

    0

    ....................k

    (kx^2 - x^3/3) | = 18

    ....................0

    k(k^2) - k^3/3 - (k(0^2) - 0^3/3) = 18

    k^3 - k^3/3 - 0 - 0 = 18

    2k^3/3 = 18

    k^3 = 27

    k = 3 or k = two imaginary numbers that can be discarded, leaving just

    k = 3

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