integral from 4 to 9 of xsqrt(x)

解答

\int_{4}^{9} x x d x

\frac{422}{5}

十进制

84.4

求解步骤

\int_{4}^{9} x x d x

化简

x x : x^{\frac{3}{2}}

= \int_{4}^{9} x^{\frac{3}{2}} d x

使用幂法则

= [\frac{2}{5} x^{\frac{5}{2}}]_{4}^{9}

带入上下限计算后得:

\frac{422}{5}

= \frac{422}{5}

\int \frac{1}{x ^{2} x ^{2} - 196} d x

\int \frac{e ^{x} ( 2 x ^{3} + x ^{2} - 4 x - 6 )}{6 x ^{4}} d x

t \to 0 lim (\frac{sin ( 2 t )}{t})

x \to 0 + lim (sin (x) \cdot ln (x))

4 y^{^{''}} - 9 y = 0