What is Integral of Cos x?

Integral of cos x is sin x + C where C is constant of integration. Integration of Cosine exists as cosine is a differentiable function. The Differentiation and Integration are reverse processes in calculus. When we know the derivate of a function, we can derive the function with the help of integration but with a constant as the constants are eliminated while finding out the derivate because derivative of a constant is 0. So we add a constant ‘c’ whenever we integrate. One of the applications of Integration is it is used to find area under the curve.

Integral of cos x gives information about the area under the curve of cos x and its definite integral gives area under the graph of cos x within specified bounds.

Integral of Cos x

Integral of Cos x is equal to Sin x + C. Integral of a function is the process of finding the area under the curve. Integration of Cos x gives the area of the region covered by the cosine trigonometric function. The integral also called the Antiderivative of a function, exists when the function is differentiable. Integration of Cos x is possible as the cosine function is also differentiable in its domain.

In this article, we will learn what is Integral of cos x, the formula of the Integral of cos x, and how to integrate cos x.

Table of Content

  • What is Integral of Cos x?
  • Integral of Cos x Formula
  • Integral of cos x Formula Proof
  • Definite Integral of cos x
  • Integral of Cos x – Graphical Significance

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What is Integral of Cos x?

Integral of cos x is sin x + C where C is constant of integration. Integration of Cosine exists as cosine is a differentiable function. The Differentiation and Integration are reverse processes in calculus. When we know the derivate of a function, we can derive the function with the help of integration but with a constant as the constants are eliminated while finding out the derivate because derivative of a constant is 0. So we add a constant ‘c’ whenever we integrate. One of the applications of Integration is it is used to find area under the curve....

Integral of Cos x Formula

The integral of Cos x is sin x. Hence, the formula of integral of cos x is given as:...

Integral of Cos x Formula Proof

The Integral of Cos x Formula can be derived using following two ways:...

Definite Integral of cos x

Definite Integral of cos x gives area under the graph of cos x with in given bounds [a,b]. It is given by ∫ab cos xdx where a and b are the limits of integration. Definite Integral formula is given as...

Integral of Cos x Graphical Significance

We know that the integration gives the idea about the area under the curve. Hence, the integral of cos x also gives the area under the cosine curve within a defined range. The area under the cosine curve is shown below:...

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