rosaura9 rosaura9
  • 15-04-2017
  • Mathematics
contestada

Find the integral of 3/sqrt of 1-4x^2

Respuesta :

Sxerks Sxerks
  • 15-04-2017
[tex]\int {\frac{3}{\sqrt{1-4x^{2}}}} \, dx[/tex]
[tex]= 3\int {\frac{1}{\sqrt{1-4x^{2}}}} \, dx[/tex]
[tex]= 3\int {\frac{1}{\sqrt{4(\frac{1}{4} - x^{2})}}} \, dx[/tex]
[tex]= \frac{3}{2}\int {\frac{1}{\sqrt{\frac{1}{4} - x^{2}}}}\, dx[/tex]

[tex]= \frac{3}{2}sin^{-1}(2x) + C[/tex]
Answer Link

Otras preguntas

what is the answer to 2 - 6h when h = - 3
3 hours and 45 minutes as a fraction
a storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank you cards, 285 birthday cards, and 56 blank cards. Based on t
3. Where would the following sentence best fit in the passage? Scientists have even created factories full of robots that make other robots. after sentence 11 a
Before beginning an Internet search to find supporting information for your topic, you must know A. what's been written about your topic in the past five years.
Express 17.28 as a mixed number.
What prime factors do 213 and 405 share?
What is the area of the figure? A. 256 square inches B. 288 square inches C. 320 square inches D. 384 square inches
I give 1/8 of my stamps to Tom. If I gave Tom 15 stamps, how many stamps did I have at first?
what is the square root of 19