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AntonioDuarte2001
- 5
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I don't understand why.. can you show me the steps of the simplifying?anuttarasammyak said:Hi. It is easily reduced to
[tex] - \int \frac{dx}{\sqrt{1-x}}[/tex]
1-xanuttarasammyak said:[tex](\sqrt{1-x})^2= ?[/tex]
Thats my doubt! I can't divide anything in the square roots..Office_Shredder said:Cancel some stuff in the numerator and denominator. Do you see what you can cancel?
An integral equation is a mathematical equation that involves an unknown function within an integral. It is used to describe relationships between functions and is often used in physics, engineering, and other scientific fields.
The process of solving an integral equation depends on the specific equation and the techniques used in integral calculus. In general, one must manipulate the equation to isolate the unknown function and then use integration techniques to solve for it.
Integral equations have many applications in physics, engineering, and other scientific fields. They are used to model physical phenomena, such as heat transfer and fluid flow, and can also be used to solve differential equations.
Yes, there are several types of integral equations, including Fredholm equations, Volterra equations, and singular integral equations. Each type has its own characteristics and methods for solving.
Yes, integral equations can be solved numerically using numerical integration methods, such as the trapezoidal rule or Simpson's rule. This is often necessary for complex or non-analytic equations that cannot be solved analytically.