Integral of Sec x by Trigonometric Formula
Integral of the secant function, (∫sec(x) , dx), can be evaluated using trigonometric formulas. One common approach involves using the identity sec(x) = 1/cos(x) and then integrating 1/cos(x).
Step 1: Rewrite sec(x) as ( 1/cos(x)).
Step 2: Replace sec(x) with (1/cos(x)) in the integral
Step 3: Integrate (1/cos(x)) with respect to (x). This yields ln |sec x + tan x| + C, where (C) is the constant of integration.
So, integral of secant function using the trigonometric formula is:
∫ sec x dx = ln |sec x + tan x| + c
where, C is Constant of Integration
Integral of Sec x
Integral of sec x is ∫(sec x).dx = ln| sec x + tan x| + C. Integration of the secant function, denoted as ∫(sec x).dx and is given by: ∫(sec x).dx = ln| sec(x) + tan(x)| + C. Sec x is one of the fundamental functions of trigonometry and is the reciprocal function of Cos x. Learn how to integrate sec x in this article.
In this article, we will understand the formula of the integral of sec x, Graph of Integral of sec x, and Methods of Integral of sec x.
Table of Content
- What is Integral of Sec x?
- Integral of Sec x Formula
- Integral of Sec x by Substitution Method
- Integral of Sec x by Partial Method
- Integral of Sec x by Trigonometric Formula
- Integral of Sec x by Hyperbolic Functions