- #1
ngkamsengpeter
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Please help me to solve the following questions using [tex]\int [f(x)]^nf(x)=\frac{[f(x)]^{n+1}}{n+1} [/tex]
[tex]\int tan {2x} dx[/tex]
[tex]\int tan {2x} dx[/tex]
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The formula for solving integrals of this form is ∫ [f(x)]^n f(x) dx = (1/(n+1)) [f(x)]^(n+1) + C, where C is the constant of integration.
The variable n represents the power to which the function f(x) is raised. This is necessary when the function is not in a form that can be easily integrated using traditional methods.
No, this formula can only be used for functions that are continuous and differentiable on the given interval. Additionally, the function must be in a form that can be raised to a power and integrated.
The constant of integration, C, is determined by evaluating the integral at a specific point. This point can be determined by using any known values or boundary conditions given in the problem.
Yes, there are other methods such as using substitution or integration by parts. However, the formula for solving integrals using the power rule is often the most efficient and straightforward method.