integral of (-3x^2)

解答

\int (- 3 x^{2}) d x

- x^{3} + C

求解步骤

\int - 3 x^{2} d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 3 \cdot \int x^{2} d x

使用幂法则

= - 3 \cdot \frac{x ^{3}}{3}

化简

- 3 \cdot \frac{x ^{3}}{3} : - x^{3}

= - x^{3}

解答补常数

= - x^{3} + C

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