integral of-2xy^2

解答

\int - 2 x y^{2} d x

- y^{2} x^{2} + C

求解步骤

\int - 2 x y^{2} d x

提出常数:

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

= - 2 y^{2} \cdot \int x d x

使用幂法则

= - 2 y^{2} \frac{x ^{2}}{2}

化简

- 2 y^{2} \frac{x ^{2}}{2} : - y^{2} x^{2}

= - y^{2} x^{2}

解答补常数

= - y^{2} x^{2} + C

\int - x ln (2 x^{2} + 1) d x

\int x^{5} (x^{3} + 1)^{\frac{1}{2}} d x

\int x^{2} u

\int \frac{5}{x} + 12 x^{5} d x

\int \frac{sin ( x )}{( 2 + cos ( x ) ) ^{6}} d x