integral of 12y

解答

\int 12 y d y

6 y^{2} + C

求解步骤

\int 12 y d y

提出常数:

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

= 12 \cdot \int y d y

使用幂法则

= 12 \cdot \frac{y ^{2}}{2}

化简

12 \cdot \frac{y ^{2}}{2} : 6 y^{2}

= 6 y^{2}

解答补常数

= 6 y^{2} + C

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