- #1
FL0R1
- 20
- 1
Can anybody give me a solution for the integral of [(lnx)/(cosx)]dx??
I would be very gratefully even they do go in a way
I would be very gratefully even they do go in a way
Do you understand that "almost all" integrals of elementary functions cannot be written in terms of elementary functions?FL0R1 said:I putted this in Mathematica program and it didnt gave results, when i put it the program stopped, anyway.This is a indefinite integral and sure that can be found by power series but do anybody know any algebra "trick" that can go to a way.
Thanks
its an undefinite integral..dextercioby said:First, asking ## \int \frac{\ln x}{\cos x} {}dx = ? ## is not a properly formulated mathematical problem. You need to specify for which values of x the function under the integral sign makes sense in the reals, or in the complex plane. Only then you can ask yourself, for what values of x, does it make sense to consider a series expansion...
Im in high school and we didnt still learned power series, i just wanted a solution for my grade.Sure that i know power series but if i solve it with PS how can classmates understand.HallsofIvy said:Do you understand that "almost all" integrals of elementary functions cannot be written in terms of elementary functions?
Integral calculation is a mathematical process used to determine the area under a curve or the accumulation of a quantity over an interval. It is considered difficult because it requires a combination of algebraic manipulation, understanding of advanced concepts such as limits and derivatives, and knowledge of various integration techniques.
Some common strategies for solving difficult integrals include using substitution, integration by parts, partial fractions, trigonometric identities, and symmetry. It is also important to recognize patterns and use properties of integrals, such as linearity and the fundamental theorem of calculus.
Improving skills in solving difficult integrals requires practice and understanding of fundamental concepts. It is important to have a strong foundation in algebra and calculus, as well as familiarity with various integration techniques. Reviewing solved examples and attempting multiple practice problems can also help improve skills.
There is no one-size-fits-all approach for recognizing which integration technique to use. It often depends on the complexity of the integral and the form of the integrand. However, a good strategy is to try substitution first and then explore other techniques if substitution does not work. It is also helpful to look for patterns and use properties of integrals to simplify the problem.
Some common mistakes to avoid when solving difficult integrals include incorrect application of integration rules, missing negative signs, and incorrect limits of integration. It is also important to check the final answer by differentiating it to ensure it is correct. It is a good practice to double-check all steps and calculations to avoid mistakes.