Definite Integral of Sin x
The definite integral of sin(x) from a to b, denoted as
∫ba sin(x) dx = [-cos(b) -(-cos(a)]
It calculates the net area under the sine curve between x = a and x = b, considering the direction of the area above and below the x-axis.
Learn, Definite Integral
Integral of Sin x
Integral of sin x is -cos(x) plus a constant (C). It represents the area under the sine curve. The function repeats every 2π radians due to its periodic nature. This article explains the integral of the sine function, showing its formula, proof, and application in finding specific definite integrals. Further, it mentions solved problems and frequently asked questions.
Table of Content
- What is Integral of Sin x?
- Integral of Sin x Formula
- Graphical Significance of Integral of Sin x
- Integral of Sin x Proof by Substitution Method
- Definite Integral of Sin x
- Integral of Sin x From 0 to π
- Integral of Sin x From 0 to π/2
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