integral of 3*sqrt(x)

解答

\int 3 \cdot x d x

2 x^{\frac{3}{2}} + C

求解步骤

\int 3 x d x

提出常数:

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

= 3 \cdot \int x d x

使用幂法则

= 3 \cdot \frac{2}{3} x^{\frac{3}{2}}

化简

3 \cdot \frac{2}{3} x^{\frac{3}{2}} : 2 x^{\frac{3}{2}}

= 2 x^{\frac{3}{2}}

解答补常数

= 2 x^{\frac{3}{2}} + C

\frac{\partial}{\partial p} (pq)

\frac{\partial}{\partial x} (3 + x ln (x y - 5))

\frac{\partial}{\partial x} (4 x^{3} + 4 y^{2} x + 4 x)

\int \frac{t}{t ^{4} + 2} d t

in v erse l a pl a ce \frac{- 4 s + 8}{s ^{2} + 6 s + 8}