adj.完整的，不可或缺的，必需的，作为组成部分的，完备的
n.积分，整体

原形：integral复数：integrals

The toilet is an integral part of a house.
厕所是房子不可或缺的一部分。
Practical experience is integral to the knowledge.
知识不可缺少实践经验。
Failure is an integral part of life.
失败是人生不可或缺的一部分。
The integral of f(x) from 0 to 5 is the area under the curve of f(x) between those limits."
f(x)从0到5的积分是曲线下的面积。
To find the volume of a solid, you calculate the integral of its cross-sectional area with respect to the variable that defines the shape's height.
要找到固体的体积，你需要计算其截面面积随形状高度变量的积分。
In calculus, the fundamental theorem of calculus connects differentiation and integration, stating that the definite integral of a function can be found by evaluating an antiderivative at the limits of integration.
在微积分中，基本定理将微分和积分联系起来，指出可以通过求原函数并在积分区间上评估来找到定积分。
She calculated the average value of the function using the definite integral, which gave her a more precise result than just taking a midpoint approximation.
她通过定积分计算了函数的平均值，这比仅取中点近似值给出了更精确的结果。
The definite integral of a constant function is simply the product of the constant and the difference between the upper and lower limits of integration.
常数函数的定积分就是常数乘以积分区间的上限和下限之差。
The integral of a velocity function gives the displacement of an object over time, assuming no acceleration outside the given interval.
速度函数的积分给出了物体在给定区间内随时间的位移，假设没有外加加速度。
The integral of a probability density function (PDF) represents the total probability of all outcomes in a continuous random variable.
概率密度函数的积分代表连续随机变量所有可能结果的总概率。
In physics, work done is the integral of force with respect to displacement, which helps us understand energy transfer.
物理学中，所做的功是力与位移的积分，这有助于我们理解能量转移。
The integral of a rate of change is the accumulation or accumulation of something, like the accumulation of rainfall over time.
变化率的积分表示积累或累积，如随时间积累的降雨量。
By taking the definite integral of a periodic function, one can find the total area it covers within one complete cycle.
通过求一个周期函数的定积分，可以找出它在一个完整周期内的总面积。