Question

double integration of xy/(x^2+y^2)

Answer 1

The limits for both dy and dx are from 0 to 1.

xy*sqty(x^2 + y^2) dy dx

Also having a tough time with this one...

integrate with with the boundaries y = sqrt(x), y = 2, x = 0.
sin(y^3) dy dx

Answer 2

@meghagoyal I don't think double integration makes sense without limits...so are they really 0 to 1 for both x and y as stated above^ ?

Answer 3

\[\int\limits_{0}^{1}\int\limits_{0}^{1}\frac{xy}{x^2+y^2}dx dy =\int\limits_{0}^{1}\frac{1}{2}[\int\limits_{0}^{1}\frac{2x}{x^2+y^2}dx] y dy=\int\limits_{0}^{1}Log[x^2+y^2] |^1_0 y dy\]

Answer 4

simplify the second integral by the substitution x^2+y^2 = t