The Scottish side could not contain the rampant Russians as last season's third-place side failed to produce the same impressive display that saw them draw 2-2 the previous week
The Scottish side needed to win in Moscow after drawing the first leg 2-2, but were unable to cope with the slick Russian outfit.
United got off to the worst possible start, conceding in the third minute to a rasping drive from Igor Semshov from outside the box. The Scottish defence had failed to properly clear the ball and the attacker punished them in emphatic style by firing the loose ball into the bottom corner of Radoslaw Cierzniak’s goal.
Now 3-2 down on aggregate, the Tangerines slowly began to push forward, seeking to utilise the height and aerial threat of Jonathan Daly. However, it was Dinamo who continued to look most threatening, particularly down the left-hand side with winger Balazs Dzsudzsak constantly worrying Keith Watson.
And it was Dzsudzsak who created Dinamo’s second goal with another weaving run which saw him burst behind the defence before producing a pin-point cross for Aleksandr Kokorin to head smartly back across goal and into the net in the 23rd minute.
Kokorin missed an opportunity to double his goal tally after a defensive mix-up saw the Russian presented with a one-on-one chance, but this time Cierzniak produced a good save to keep Dundee in the tie.
The visitor's best opportunity to score was looking like being from a set-piece, but they risked conceded again every time they pushed forward as Dinamo broke with pace and precision, and it was in the 40th minute that Dinamo launched yet another swift counter. This time Kokorin turned provider, releasing an untracked Artur Yusupov to curl a delicate shot past a helpless Cierzniak.
The SPL side's best chance of the half came minutes before half-time. Willo Flood’s bending 25-yard free kick was flying into the top corner until an airborne Roman Berezovsky tipped the ball over the bar.
Dinamo picked up where they left off after the break. A hopeful long ball set the big German Kuranyi free and he attempted to chip Cierzniak with a delicate header, but missed the goal by inches.
Counter-attacking superbly once more, Dinamo found Kokorin with time and space inside the penalty box, but the Russian was unable to match the composure of Yusupov’s earlier finish and blasted over.
As the match edged towards full-time, United's possession began to increase. But as the Scottish side pushed forward, and their defensive line stepped up, Dinamo found more space to counter and exploit on the break.
Kuranyi was the primary benefactor, but had a torrid time in front of goal. On another the day the former Schalke striker could have scored a hat-trick.
For all the Tangerine's hard work and increased possession, they carved out few clear-cut chances, instead relying on set-pieces and pot shots from range. A spring-loaded Dinamo, however, continued to break with verve and penetration and with seven minutes left on the clock released the substitute Aleksandr Stavpetc who prodded the ball past Cierzniak.
To round off a miserable night for the Scots, Sapeta picked up the ball 30-yards out from goal and let rip with a blistering shot that found the top corner in the 88th minute as Dundee United limped out of the Europa League.