- #1
Hamid1
- 17
- 0
Hi all.
can anyone integrate xdx/x^2+4x+5
and this one : xdx/sqrt(x^2+4x+13)
thank you and excuse me for english:)
can anyone integrate xdx/x^2+4x+5
and this one : xdx/sqrt(x^2+4x+13)
thank you and excuse me for english:)
That's not the way it works here. We will help you with your homework, but we will not do it for you. You have to put some effort in.Hamid1 said:Yes,I want the method.
can you explain more?rewrite the numerator as (2x+4-4)/2.Try splitting the integral into two functions now.
I have solved about 100 integrals but I can't do these two.I don't know the method.That's not the way it works here. We will help you with your homework, but we will not do it for you. You have to put some effort in.
Thank you.the first part is easy to solve but how can I solve the second part?virus said:rewrite as integral of 1/2*( 2x+4/x^2+4x+5) -2*integral of (1/x^2+4x+5) . Now try to solve both of these integrals seperately.
Use partial fractions.Hamid1 said:Thank you.the first part is easy to solve but how can I solve the second part?
Since you have "xdx" in the numerator- which should remind you of the derivative of x2, you should immediately think about getting the denominator in the form "x2- a" so you can substitute. In other words, start by completing the square in the denominator.Hamid1 said:Hi all.
can anyone integrate xdx/x^2+4x+5
and this one : xdx/sqrt(x^2+4x+13)
thank you and excuse me for english:)
Can you tell me how?Because I don't know english(partial fractions) very well.Hootenanny said:Use partial fractions.
Can you factorise the denominator and then split the fraction into two different fractions?Hamid1 said:Can you tell me how?Because I don't know english(partial fractions) very well.
Whoops! I thought the denominator was (x2-4x-5).HallsofIvy said:No, the whole point of this problem is that you cannot factor the denominator. Complete the square instead.
No, integration requires a certain level of understanding and knowledge in mathematics and problem solving. It is not something that can be done without any prior experience or training.
It can be challenging for some people to understand, but with practice and patience, it can become easier to grasp. It is important to have a strong foundation in basic mathematics before attempting to learn integration.
Integration is a fundamental tool in many areas of science, engineering, and economics. It allows for the calculation of areas, volumes, and averages, which are essential in analyzing and solving real-life problems.
Yes, there are many online and handheld calculators that have integration capabilities. However, it is important to understand the concepts and steps involved in integration in order to use a calculator effectively.
Practice, practice, practice! Integration, like any other skill, requires practice to become proficient. It is also helpful to seek out resources such as textbooks, online tutorials, and practice problems to further develop your skills.