LaTeX https://www.physicsforums.com/showthread.php?t=8997anon413 said:How did you type that exactly.
Gets easier as you use it on a daily basis.anon413 said:Yes thank you, that command latex is complicated I'll try to learn it.
rocophysics said:Gets easier as you use it on a daily basis.
First, I would break up the numerator.
[tex]\int\frac{x^2}{\sqrt{2x-1}}dx-\int\frac{dx}{\sqrt{2x-1}}[/tex]
By the way it is not stupid math, but instead sutupidmath! NOt that i mind it, but it feels good to be correct! NO hard feelings, ok?anon413 said:Ok ill try stupid maths method I would get the integral of (((u^2+1)/2)^2-1)/(u) what would my du be
U Substitution is a technique used in integration to simplify and solve integrals. It involves substituting a new variable, typically denoted as u, in place of a complex expression within the integral.
U Substitution is most commonly used when the integrand (the expression being integrated) is composed of two functions, one of which is nested inside the other. It can also be used when the integrand contains a polynomial, trigonometric, or exponential function.
The first step in performing U Substitution is to identify the nested function within the integrand and assign it as the new variable u. Then, you must find the derivative of u and substitute it into the integrand, along with du, the differential of u. From there, the integral can be solved using standard integration techniques.
U Substitution can simplify complex integrals, making them easier to solve. It can also help to identify patterns and relationships between different types of integrals, which can be useful in solving more difficult integration problems.
U Substitution may not always be applicable, as it requires the integrand to contain a nested function. It also may not work for integrals with multiple variables or those that cannot be expressed in terms of u. In these cases, other integration techniques, such as integration by parts, may be more suitable.