adv.整体地

The integral of the function f(x) = 2x from 0 to 5 is 25.
这个函数f(x) = 2x从0积分到5的结果是25。
The area under the curve y = x^2 from 0 to 3 can be found by calculating its integral.
曲线y = x^2从0积分到3下的面积可以通过计算其积分得到。
The solution to the differential equation dy/dx = 3x^2 involves finding the integral of 3x^2.
解微分方程dy/dx = 3x^2涉及到对3x^2进行积分。
In calculus, the concept of integration is used to find the total accumulation of a quantity over a given interval.
在微积分中，积分的概念用于找出给定区间内一个量的总积累。
To evaluate the definite integral ∫ from 1 to 4 of (1/x) dx, you need to apply the natural logarithm function.
要评价被积函数为(1/x)从1到4的定积分，你需要应用自然对数函数。
The indefinite integral of cos(x) with respect to x is sin(x) + C, where C is the constant of integration.
关于x的cos(x)的不定积分是sin(x) + C，其中C是积分常数。
When solving physics problems, understanding how to integrate functions is crucial for calculating quantities like work done or displacement.
在解决物理问题时，理解如何对函数进行积分对于计算工作量或位移等量至关重要。
In probability theory, the integral of a probability density function over a certain range gives the probability of an event occurring within that range.
在概率论中，概率密度函数在一定范围内的积分给出了事件在该范围内发生的概率。
To compute the volume of a solid of revolution using the disk method, one integrates the cross-sectional area along the axis of revolution.
使用盘法计算旋转体体积时，沿着旋转轴积分横截面积。
In engineering, the process of integrating different components into a system often requires careful consideration of how their individual functions contribute to the whole.
在工程中，将不同组件整合到系统中的过程通常需要仔细考虑它们各自功能如何共同作用于整体。