integral from-5 to 5 of |x+3|

解答

\int_{- 5}^{5} ∣ x + 3 ∣ d x

34

求解步骤

\int_{- 5}^{5} ∣ x + 3 ∣ d x

拿掉绝对值

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

\int_{- 5}^{- 3} - x - 3 d x = 2

\int_{- 3}^{5} x + 3 d x = 32

= 2 + 32

化简

= 34

\int_{- 10}^{8} 80 - 2 x - x^{2} d x

\int_{8}^{12} ln (\frac{x}{2} - 3) d x

\int_{\frac{π}{3}}^{\frac{π}{2}} \frac{1}{sin ( x )} d x

\int_{0}^{0.5} 2 x + 3 - x e^{3 x} d x

\int_{0}^{1} \frac{9}{1 + p ^{2}} d p