integral of (3y^2)

解答

\int (3 y^{2}) d y

y^{3} + C

求解步骤

\int 3 y^{2} d y

提出常数:

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

= 3 \cdot \int y^{2} d y

使用幂法则

= 3 \cdot \frac{y ^{3}}{3}

化简

3 \cdot \frac{y ^{3}}{3} : y^{3}

= y^{3}

解答补常数

= y^{3} + C

t an g e n t y = x + x, (49, 56)

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x \to + 0 lim (\frac{x ^{2}}{1 - cos ( x )})

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