Question

integral

Answer 1

\[\int\frac{y}{(x^2+y^2)^{3/2}}dx\]
and
\[\int\frac{x}{(x^2+y^2)^{3/2}}dx\]

Answer 2

this i encountered in physics as i was calculation electric field
r^2=x^2+y^2

Answer 3

try using trig subs ... x=y tan (theta)

Answer 4

y can be considered as a constant

Answer 5

cannot be .. :((((((

Answer 6

\[\int \frac{a}{(x^2+a^2)^{3/2}}\]
\[\int \frac{x}{(x^2+a^2)^{3/2}}\]

Answer 7

the best thing you can do is convert into polar form (if r is constant). if r is not constant then best of luck to you!!