integral from x-z to x+z of z

解答

\int_{x - z}^{x + z} z d z

2 x z

求解步骤

\int_{x - z}^{x + z} z d z

使用幂法则

= [\frac{z ^{2}}{2}]_{x - z}^{x + z}

带入上下限计算后得:

\frac{( x + z ) ^{2}}{2} - \frac{( x - z ) ^{2}}{2}

= \frac{( x + z ) ^{2}}{2} - \frac{( x - z ) ^{2}}{2}

化简

= 2 x z

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