integral of (13sqrt(x)+sqrt(3))

解答

\int (13 x + 3) d x

\frac{26}{3} x^{\frac{3}{2}} + 3 x + C

求解步骤

\int 13 x + 3 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 13 x d x + \int 3 d x

\int 13 x d x = \frac{26}{3} x^{\frac{3}{2}}

\int 3 d x = 3 x

= \frac{26}{3} x^{\frac{3}{2}} + 3 x

解答补常数

= \frac{26}{3} x^{\frac{3}{2}} + 3 x + C

d er i v a t i v e x^{a}

\frac{d}{d t} (tan (5 t))

t an g e n t y = - 6 x^{2} + 4

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

d er i v a t i v e y = \frac{1 - y}{x - 1}