integral from-5 to 3 of sqrt(|x|+1)

解答

\int_{- 5}^{3} ∣ x ∣ + 1 d x

46 + 4

十进制

13.79795 \dots

求解步骤

\int_{- 5}^{3} ∣ x ∣ + 1 d x

拿掉绝对值

= \int_{- 5}^{0} - x + 1 d x + \int_{0}^{3} x + 1 d x

\int_{- 5}^{0} - x + 1 d x = 46 - \frac{2}{3}

\int_{0}^{3} x + 1 d x = \frac{14}{3}

= 46 - \frac{2}{3} + \frac{14}{3}

合并分式

- \frac{2}{3} + \frac{14}{3} : 4

= 46 + 4

n = 2 \sum \infty \frac{3}{6 ^{n}}

x \to 0 lim (e^{x} cos (5 x))

81 y^{^{''}} + 72 y^{^{'}} + 16 y = 0, y (0) = 5, y^{^{'}} (0) = - 1

l a pl a ce t r an s f or m e^{\frac{2 t}{1}}

in v erse l a pl a ce \frac{6 s ^{2}}{s ^{2} ( s ^{2} + 16 )}