integral from 0 to xz of cos(y/z)

解答

\int_{0}^{x z} cos (\frac{y}{z}) d y

z 未定义

求解步骤

\int_{0}^{x z} cos (\frac{y}{z}) d y

使用换元积分法

= \int_{0}^{x} cos (u) z d u

提出常数:

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

= z \cdot \int_{0}^{x} cos (u) d u

使用积分常见定则:

\int cos (u) d u = sin (u)

= z [sin (u)]_{0}^{x}

带入上下限计算后得:

未定义

= z 未定义

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