Can you use a land's cycling ability to search for a basic land and put it into play untapped?

Standard cycling (CR 702.29a) lets you pay the cycling cost, discard the card, and draw one card. It does not put any land into play. You simply replace the cycled card with a fresh draw from your deck.

Some cards have a variant called 'Landcycling' (CR 702.29b), such as Ash Barrens or Krosan Tusker. Landcycling lets you discard the card and search your library for a land card of the specified type, but that land goes to your hand, not into play. You still have to play it normally on a future turn, subject to your one-land-per-turn limit.

Putting a land directly into play (untapped or otherwise) requires a specific effect that says so, such as the Fetch land sacrifice ability, Cultivate, or Rampant Growth. Cycling and landcycling do not grant that privilege.

Example: You control Ash Barrens and activate its basic landcycling ability by paying {1} and discarding it. You search your library and find a Forest. That Forest goes to your hand. On your next turn you may play it as your land for the turn — it enters tapped or untapped according to normal rules, not because of the cycling effect.

In short: cycling = draw a card; landcycling = search for a land to your hand. Neither ability puts a land onto the battlefield, and neither bypasses the normal rules for playing lands (CR 305.1).