integral of x-6

解答

\int x - 6 d x

\frac{x ^{2}}{2} - 6 x + C

求解步骤

\int x - 6 d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x d x - \int 6 d x

\int x d x = \frac{x ^{2}}{2}

\int 6 d x = 6 x

= \frac{x ^{2}}{2} - 6 x

解答补常数

= \frac{x ^{2}}{2} - 6 x + C

x \to 0 lim (\frac{[ sin ( 8 x ) ]}{x})

y^{^{''}} + y = 0, y (\frac{π}{3}) = 12, y^{^{'}} (\frac{π}{3}) = - 24

y^{^{'}} - y = 10 t e^{2} t, y (0) = 1

d er i v a t i v e \frac{1}{x ( 9 + ln ( x ) )}

t a y l or ln (x), - 1