integral from 0 to 2 of 5x^2-11x

解答

\int_{0}^{2} 5 x^{2} - 11 x d x

- \frac{26}{3}

十进制

- 8.66666 \dots

求解步骤

\int_{0}^{2} 5 x^{2} - 11 x 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_{0}^{2} 5 x^{2} d x - \int_{0}^{2} 11 x d x

\int_{0}^{2} 5 x^{2} d x = \frac{40}{3}

\int_{0}^{2} 11 x d x = 22

= \frac{40}{3} - 22

化简

\frac{40}{3} - 22 : - \frac{26}{3}

= - \frac{26}{3}

\int_{1}^{e} (22 + ln (x))^{2} d x

\int_{0}^{1000} e^{4 z} - 5 d z

\int_{0}^{4} \frac{1}{5} e^{- \frac{x}{5}} d x

\int_{- 2}^{5} (x^{2} + 6 x + 8) d x

\int_{4}^{\infty} ln (x) d x