integral of-x/2

解答

\int - \frac{x}{2} d x

- \frac{x ^{2}}{4} + C

求解步骤

\int - \frac{x}{2} d x

提出常数:

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

= - \frac{1}{2} \cdot \int x d x

使用幂法则

= - \frac{1}{2} \cdot \frac{x ^{2}}{2}

化简

- \frac{1}{2} \cdot \frac{x ^{2}}{2} : - \frac{x ^{2}}{4}

= - \frac{x ^{2}}{4}

解答补常数

= - \frac{x ^{2}}{4} + C

d er i v a t i v e \frac{( x ^{\frac{1}{3}} - 4 )}{x ^{\frac{7}{2}}}

\frac{d y}{d t} = t^{2}

d er i v a t i v e y = \frac{csc ( x ^{2} )}{7 x - cos ^{2} ( x )}

l a pl a ce t r an s f or m 2 t^{2} e^{t}

\frac{d ^{3}}{d x ^{3}} (e^{x^{2}})