Double Integrals I

xrange $val11, $val12 yrange $val23, $val22 linewidth=2 plot green, $val15 segment $val13,$val21,$val13,$val17, blue segment $val14,$val21,$val14,$val18, blue segment $val13,$val21,$val14,$val21, blue fill $val24,$val25, skyblue text black,$val13,0,giant,$val13 text black,$val14,0,giant,$val14 linewidth 1 vline 0,$val14, black hline $val13,0, black hline $val13,$val21 , black text black,$val11,$val21,giant, y=$val21 parallel $val11,$val23,$val12,$val23, 0,1, 20, grey parallel $val11,$val23,$val11,$val22, 1,0, 20, grey arrow 0,$val23, 0,$val22,10,black arrow $val11,0, $val12,0 ,10,black
$(val30[1;]) $(val30[2;]) , $(val30[3;])
$val31

Double Integrals II

xrange $val29, $val28 yrange $val31, $val30 linewidth=2 fpoly skyblue,$val18,$val19,$val20,$val21,$val23,$val22,$val18 poly blue,$val18,$val19,$val20,$val21,$val23,$val22,$val18 text black,$val18,giant,A text black,$val19,giant,B text black,$val20,giant,C text black,$val21,giant,D text black,$val23,giant,E text black,$val22,giant,F linewidth 1 vline 0,0, black hline 0,0, black parallel $val29,$val31,$val28,$val31, 0,1, 20, grey parallel $val29,$val31,$val29,$val30, 1,0, 20, grey arrow 0,$val31, 0,$val30,10,black arrow $val29,0, $val28,0 ,10,black
$(val36[1;]) , , , , , $(val36[2;]) $(val36[3;])

$(val37[1;])

.

$(val37[2;])?

Double Integrals III

$(val35[1;]) , , , , , $(val35[2;]) $(val35[3;])

$m_int$m_int D

$(val36[1;])

.

$(val36[2;])?
xrange $val28, $val27 yrange $val30, $val29 linewidth=2 fpoly skyblue,$val16,$val17,$val18,$val19,$val20,$val21,$val16 poly blue,$val16,$val17,$val18,$val19,$val20,$val21,$val16 text black,$val16,giant,A text black,$val17,giant,B text black,$val18,giant,C text black,$val19,giant,D text black,$val20,giant,E text black,$val21,giant,F linewidth 1 hline 0,0, black vline 0,0, black parallel $val28,$val30,$val27,$val30, 0,1, 20, grey parallel $val28,$val30,$val28,$val29, 1,0, 20, grey arrow 0,$val30, 0,$val29,10,black arrow $val28,0, $val27,0 ,10,black

Double Integrals IV

xrange $val35, $val34 yrange $val37, $val36 linewidth=2 fpoly skyblue,$val19,$val20,$val21,$val22,$val23,$val24,$val19 poly blue,$val19,$val20,$val21,$val22,$val23,$val24,$val19 text black,$val41,giant,A text black,$val42,giant,B text black,$val43,giant,C text black,$val44,giant,D text black,$val45,giant,E text black,$val46,giant,F linewidth 1 hline 0,0, black hline 0,0, black parallel $val35,$val37,$val34,$val37, 0,1, 20, grey parallel $val35,$val37,$val35,$val36, 1,0, 20, grey arrow 0,$val37, 0,$val36,10,black arrow $val35,0, $val34,0 ,10,black
$(val49[1;]) , , , , , $(val49[2;]) $(val49[3;])

$(val50[1;])

.

$(val50[2;])

$(val50[3;]) $m_leq $m_leq $m_leq $(val50[4;])?$(val50[5;])?