integral of 0.75x

解答

\int 0.75 x d x

0.375 x^{2} + C

求解步骤

\int 0.75 x d x

提出常数:

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

= 0.75 \cdot \int x d x

使用幂法则

= 0.75 \cdot \frac{x ^{2}}{2}

化简

0.75 \cdot \frac{x ^{2}}{2} : 0.375 x^{2}

= 0.375 x^{2}

解答补常数

= 0.375 x^{2} + C

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