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integral of 15+0.55x

解答

\int 15 + 0.55 x d x

解答

0.90909 \dots (15 + 0.55 x)^{2} + C

求解步骤

\int 15 + 0.55 x d x

使用换元积分法

= \int \frac{u}{0.55} d u

提出常数:

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

= \frac{1}{0.55} \cdot \int u d u

化简

= 1.81818 \dots \cdot \int u d u

使用幂法则

= 1.81818 \dots \cdot \frac{u ^{2}}{2}

u = 15 + 0.55 x

代回

= 1.81818 \dots \cdot \frac{( 15 + 0.55 x ) ^{2}}{2}

化简

1.81818 \dots \cdot \frac{( 15 + 0.55 x ) ^{2}}{2} : 0.90909 \dots (15 + 0.55 x)^{2}

= 0.90909 \dots (15 + 0.55 x)^{2}

解答补常数

= 0.90909 \dots (15 + 0.55 x)^{2} + C

作图

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