eduarchitect
eduarchitect eduarchitect
  • 25-07-2017
  • Mathematics
contestada

can anyone help me with this:
[tex] \int\limits\, ((4x-8)/(x^{2}-4x-3)) dx
[/tex]

Respuesta :

konrad509
konrad509 konrad509
  • 25-07-2017
[tex]\displaystyle \int \dfrac{4x-8}{x^2-4x-3}\, dx=\\ 2\int \dfrac{2x-4}{x^2-4x-3}\, dx=(*)\\\\\\ \int \dfrac{f'(x)}{f(x)}=\ln(f(x))+C\\\\\\ (*)=2\ln(x^2-4x-3)+C[/tex]
Answer Link

Otras preguntas

What did John Mitchell tell the Senate about Richard Nixon?
what branch of government makes the laws
assume the substance has a half-life of 11 years and the initial amount is 126 grams.How long will it be until only 15 % remains?
The curtis car traveled an average of 21 miles per gallon of gas. At that rate, how far could the car travel on a full tank of 21 gallons
Why Is Missouri Called the Show-Me State?
6010 males did a survey and 59.7% choose vanilla how many choose chocolate
the length of a rectangular prism is 8height : 1surface area:250what is volume and width
how does climate affect the type of biome found in an area?
A $20,000 deposit was placed in a bank paying 5.75% interest compounded quarterly. After 12 months, how much interest was earned.
How much force is needed to move a box to an acceleration of 1.5 m/s^2 and a mass of 50 kg?