integral of 2y^3

解答

\int 2 y^{3} d y

\frac{y ^{4}}{2} + C

求解步骤

\int 2 y^{3} d y

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int y^{3} d y

使用幂法则

= 2 \cdot \frac{y ^{4}}{4}

化简

2 \cdot \frac{y ^{4}}{4} : \frac{y ^{4}}{2}

= \frac{y ^{4}}{2}

解答补常数

= \frac{y ^{4}}{2} + C

d er i v a t i v e \frac{1}{2} (2 (7.5) + 1)^{- \frac{1}{2}}

a re a 2 - x^{2}, 6 - 5 x

\frac{d}{d x} ((sin (7 x))^{l n (x)})

\frac{d}{d x} (1 - e^{- \frac{x}{3}})

(\frac{5}{x ^{5}})^{^{'}}