integral of 2/5 x

解答

\int \frac{2}{5} x d x

\frac{x ^{2}}{5} + C

求解步骤

\int \frac{2}{5} x d x

提出常数:

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

= \frac{2}{5} \cdot \int x d x

使用幂法则

= \frac{2}{5} \cdot \frac{x ^{2}}{2}

化简

\frac{2}{5} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{5}

= \frac{x ^{2}}{5}

解答补常数

= \frac{x ^{2}}{5} + C

d er i v a t i v e 2 + x^{2}

n = 0 \sum \infty 2 (- \frac{2}{3})^{n}

t an g e n t \frac{1}{3} x^{3} - 3 x^{2} - 16 x + 8

y^{^{'}} cot^{2} (x) + tan (y) = 0

\int_{- 3}^{3} x^{2} d x