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受欢迎的微积分 >

integral from 3 to 15 of 1/x

解答

\int_{3}^{15} \frac{1}{x} d x

解答

ln (5)

+1

十进制

1.60943 \dots

求解步骤

\int_{3}^{15} \frac{1}{x} d x

使用积分常见定则:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{3}^{15}

带入上下限计算后得:

ln (15) - ln (3)

= ln (15) - ln (3)

化简

= ln (5)

作图

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