An integral is a mathematical concept that represents the area under a curve in a graph. It is used to calculate the total value of a function over a certain interval.
The notation \int_{a}^{b} f(x) dx represents the integral of the function f(x) over the interval from a to b. It is read as "the integral of f(x) with respect to x from a to b."
Solving an integral allows us to find the exact value of the area under a curve, which can be useful in many real-world applications. It also helps us understand the behavior and properties of a given function.
The process for solving an integral involves finding an antiderivative of the given function and then evaluating it at the upper and lower limits of the integral. This results in a numerical value that represents the area under the curve.
To solve this integral, you can use a variety of techniques such as substitution, integration by parts, or trigonometric identities. It is also helpful to simplify the integrand before attempting to integrate it.