Fundamental theorem of calculus.The differential and integral calculus, Which in turn is a major operation. This means that if any function of the integration. Then the derivatives. We will have same fundamental theorem of calculus that we have of this field. Consequence of this theorem. Which is sometimes called the fundamental theorem of calculus, the second chapter, we were able to calculate integrals using antiderivatives of a function.
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Oriented, integral calculus.
Integral calculus based methods of integration (in the integral, Integral) function, which may limit the definition of the term of the sum. (This is called a limit of Riemann sums), each term is a rectangular area of each bar graph of the function. The integration process is an effective method way to find the area under the curve. And surface area. And volume of solids such as spheres and cylinders.
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Generally This theorem that the sum of the changes that less is more. Amount of time. (Or the other) is close to the total.
To agree with this. We'll start with this example. Suppose that a particle traveling on a straight line with position function x (t) where t is the time derivative of this function is a very small change of x is at least good. (Of course, it depends on the time derivative), we define the change of the distance to the velocity v of a particle with a notation of Leibniz.
\ Frac {dx} {dt} = v (t).
When the new format will be.
dx = v (t) \, dt.
The logic of the above. The change in the x \ Delta x is the sum of the changes are small dx is also equal to the sum of the product of the derivative and a little more time. This is an infinite sum of integrals. The integration allows us to restore the function of its derivatives as well. The inverse of this operation. This means that we can find the derivative of the integration. This function will return the rate.
