面积 sqrt(1/7 x),7x^2

解答

面积

\frac{1}{7} x, 7 x^{2}

\frac{1}{147}

十进制

0.00680 \dots

求解步骤

使用面积公式:

\int_{0}^{\frac{1}{7}} \frac{1}{7} x - 7 x^{2} d x

解

\int_{0}^{\frac{1}{7}} \frac{1}{7} x - 7 x^{2} d x : \frac{1}{147}

面积为:

= \frac{1}{147}

x \to \infty lim ((x^{2} - 1) e^{- x^{2}})

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