Recent content by ggumdol

Thanks Dick and stevenb. I like this forum.

I got a complete solution due to hints from both of you. \int_{0}^{1} s^2 \int_{0}^{1} t f(tsx) dt ds = \int_{0}^{1} \int_{0}^{1} s t f(tsx) s dt ds = \int_{0}^{1} \int_{0}^{s} u f(ux) du ds where I plugged the change of variable u=st . Now I change the area over which the double...

Thanks. I know that your (Tayler series expansion) method can be used to prove the identity but it may look slightly less elegant.

Homework Statement Can anybody prove the following double integral identity? How?: \int_{0}^{1} s(1-s) f(sx) ds = \int_{0}^{1} s^2 \int_{0}^{1} t f(tsx) dt ds Here f(x) is an arbitrary Riemann-integrable function. Thanks in advance. Homework Equations I've found the following but it...