integral from 0 to 5 of 100-10t

解

\int_{0}^{5} 100 - 10 t d t

375

解答ステップ

\int_{0}^{5} 100 - 10 t d t

総和規則を適用する:

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

= \int_{0}^{5} 100 d t - \int_{0}^{5} 10 t d t

\int_{0}^{5} 100 d t = 500

\int_{0}^{5} 10 t d t = 125

= 500 - 125

簡素化

= 375

n or ma l f (x) = - \frac{761}{12} x^{4} + \frac{2089}{3} x^{3} - \frac{31015}{12} x^{2} + \frac{11432}{3} x - 1833, at x = 5.35

\int \frac{5 x ^{2} - 3 x + 18}{9 x - x ^{3}} d x

\frac{d}{d x} (e^{a x} + arctan (c x))

d er i v a t i v e y = \frac{7}{3 x ^{4}}

\int \frac{x ^{3}}{( a ^{2} + x ^{2} ) ^{2}} d x