Question

Can someone help me with triple integral? for dydxdz and dydzdx.

Answer 1

I can't really read those limits... Is it
\[\int_0^1\int_x^1\int_0^4f(x,y,z)~dz~dy~dx~~?\]

Answer 2

No, you must have meant
\[\int_0^1\int_x^1\int_0^yf~dz~dy~dx\]

Answer 3

\[\int_0^1\int_z^1\int_0^y f~dx~dy~dz\\
\int_0^1\int_0^y\int_0^y f~dx~dz~dy\\
\int_0^1\int_0^y\int_x^1 f~dy~dx~dz\\
\int_0^1\int_0^y\int_x^1 f~dy~dz~dx\\
\int_0^1\int_0^y\int_0^y f~dz~dx~dy\]

Answer 4

yes, it is y. don't we need two integrals for dydxdz and dydzdx?