integral from 0 to 4.5 of 100x

解答

\int_{0}^{4.5} 100 x d x

1012.5

求解步骤

\int_{0}^{4.5} 100 x d x

提出常数:

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

= 100 \cdot \int_{0}^{4.5} x d x

使用幂法则

= 100 [\frac{x ^{2}}{2}]_{0}^{4.5}

化简

= 100 [0.5 x^{2}]_{0}^{4.5}

带入上下限计算后得:

10.125

= 100 \cdot 10.125

化简

= 1012.5

t an g e n t 4 x^{2} - 2 x, at x = - 1

d er i v a t i v e \frac{1}{( 1 + x ) ^{2}}

x y^{^{'}} = 2 x^{2} + y, y (1) = 3

\frac{d}{d x} (cos (3 ln (x)))

d er i v a t i v e e^{x} - 5 x^{4}