Probably not.whatlifeforme said:Homework Statement
evaluate the integral.
Homework Equations
[itex]\displaystyle\int {\frac{1}{secx+tanx} dx}[/itex]
The Attempt at a Solution
can i just do ln|secx + tanx| ??
whatlifeforme said:Homework Statement
evaluate the integral.Homework Equations
[itex]\displaystyle\int {\frac{1}{secx+tanx} dx}[/itex]
The Attempt at a Solution
can i just do ln|secx + tanx| ??
An integral rational function is a type of mathematical function that can be written as a ratio of two polynomials, where the numerator and denominator are both polynomials with integer coefficients. It is also referred to as a rational expression.
The degree of an integral rational function is the highest power of the variable in the numerator or denominator of the function. It is determined by the highest degree term in the numerator, minus the highest degree term in the denominator. For example, the function f(x) = (3x^2 + x + 2) / (x^3 + 2x) has a degree of 2, since the highest degree term in the numerator is x^2 and the highest degree term in the denominator is x^3.
To simplify an integral rational function, you can factor both the numerator and denominator and cancel out any common factors. This will result in a simplified form of the function that has the same value as the original function. For example, the function f(x) = (x^2 + 4x + 4) / (x + 2) can be simplified to f(x) = x + 2 by factoring the numerator and canceling out the common factor of (x + 2).
The domain of an integral rational function is all the real numbers except for the values of x that would make the denominator equal to 0. This is because division by 0 is undefined. To find the domain, set the denominator equal to 0 and solve for x. Any values of x that make the denominator equal to 0 must be excluded from the domain.
The graph of an integral rational function can be created by finding the x and y intercepts, identifying any vertical or horizontal asymptotes, and plotting a few other points to get a sense of the overall shape of the function. The graph will have a curve that may have breaks or holes at the x values where the denominator is equal to 0. It may also have asymptotes at these values or as x approaches positive or negative infinity.