Definite integration is a mathematical process used to find the exact numerical value of the area under a curve between two specific points on a graph.
Trigonometric functions are mathematical functions that relate the angles of a triangle to the lengths of its sides. They include sine, cosine, tangent, cotangent, secant, and cosecant.
To perform definite integration of trigonometric functions, you must first rewrite the trigonometric function in terms of the variable of integration. Then, you can use trigonometric identities and integration rules to simplify the function and evaluate the definite integral.
The purpose of definite integration of trigonometric functions is to find the numerical value of the area under a curve, which can be useful in many real-world applications such as calculating displacement, velocity, and acceleration in physics.
Some common techniques used in definite integration of trigonometric functions include substitution, integration by parts, and trigonometric identities such as the Pythagorean identity and the double angle formulas.