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
∫ab f(x) dx = F(b) – F(a)
Definite Integral of cos x
The definite integral of cos x is given below
∫ab cos xdx = [sin x]ab= sinb – sina
Definite integral of cos x from 0 to π/2
∫π/20cos xdx = [sin x] π/20
= sin π/2 – sin 0
= 1 – 0
= 1
Definite integral of cos x from π/2 to π
∫ππ/2cos xdx = [sin x]ππ/2
= sinπ – sinπ /2
= 0 – 1
= -1
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
Contact Us