面积 y=sin^2(x),y=sin^3(x),[0,pi]

解答

面积

y = sin^{2} (x), y = sin^{3} (x), [0, π]

\frac{π}{2} - \frac{4}{3}

十进制

0.23746 \dots

求解步骤

使用面积公式:

\int_{0}^{π} sin^{2} (x) - sin^{3} (x) d x

解

\int_{0}^{π} sin^{2} (x) - sin^{3} (x) d x : \frac{π}{2} - \frac{4}{3}

面积为:

= \frac{π}{2} - \frac{4}{3}

\frac{d}{d x} (\frac{1}{4 x})

n = 0 \sum \infty (x + 1)^{n}

\frac{d}{d x} (2 x y^{4} - 3)

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

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