Question

evaluate:
dx over the square root of 28-12 x^2 ?

Answer 1

Do you mean
\[\int \frac{dx}{\sqrt{28-12x^2}}\]for the question?

Answer 2

yes :)

Answer 3

\[\int\limits_{}^{}\frac{dx}{\sqrt{28} \sqrt{1-\frac{12x^2}{28}}} \]
\[\frac{1}{\sqrt{28}} \int\limits_{}^{}\frac{dx}{\sqrt{1-(\frac{\sqrt{12} x}{\sqrt{28}}})^2 }\]

Answer 4

\[u=\frac{\sqrt{12}x}{\sqrt{28}}\]

Answer 5

how about its du; dv; and v ?

Answer 6

integration by parts

Answer 7

I did it using trigo sub...

Answer 8

integration by parts, (callisto)

Answer 9

Must you use by parts?

Answer 10

∫112(2812−x2)−−−−−−−−−−√dx=>112−−√∫12812−x2−−−−−−√dx
how did you come up with this solution?

Answer 11

#callisto: yes, it's by parts

Answer 12

Wait, I did something wrong there :|

Answer 13

its okey, no need to worry

Answer 14

I hope I did it right this time, though, I'm not using integration by parts to get it