integral from 0 to 13 of |x-10|

解答

\int_{0}^{13} ∣ x - 10 ∣ d x

\frac{109}{2}

十进制

54.5

求解步骤

\int_{0}^{13} ∣ x - 10 ∣ d x

拿掉绝对值

= \int_{0}^{10} - x + 10 d x + \int_{10}^{13} x - 10 d x

\int_{0}^{10} - x + 10 d x = 50

\int_{10}^{13} x - 10 d x = \frac{9}{2}

= 50 + \frac{9}{2}

化简

50 + \frac{9}{2} : \frac{109}{2}

= \frac{109}{2}

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