integral from 1 to 2 of (5x^4+5)

解答

\int_{1}^{2} (5 x^{4} + 5) d x

36

求解步骤

\int_{1}^{2} 5 x^{4} + 5 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_{1}^{2} 5 x^{4} d x + \int_{1}^{2} 5 d x

\int_{1}^{2} 5 x^{4} d x = 31

\int_{1}^{2} 5 d x = 5

= 31 + 5

化简

= 36

\frac{d ^{2}}{d x ^{2}} ((5 x^{2} - 4 x) cos (x))

t a y l or f (x) = \frac{x - ln ( 1 + x )}{x ^{2}}

ma c l a u r in 2 e^{- \frac{x}{2}} + e^{- x}

x \to + \frac{π}{2} + lim (e^{s e c (x)})

\frac{d}{d x} (\frac{4 x ^{2} + 2 x + 6}{x})