Chelsea became just the second English side to reach a Women's Champions League final with a 4-1 victory over Bayern Munich at Kingsmeadow.
Emma Hayes' side trailed 2-1 from the first leg last week but Pernille Harder's 84th-minute header and a very late fourth from Fran Kirby booked a Gothenburg date with Barcelona in two weeks' time.
Kirby had put Chelsea ahead with a goal cancelled out by a stunning strike from Sarah Zadrazil but So-yun Ji restored the lead before half-time.
Arsenal, the champions in 2007, were the only previous English side to reach a final, while Hayes is the first female manager to make it this far since the competition was rebranded in 2009.
Victory also kept Chelsea, who had lost twice in the semi-finals in the last three years, in with a chance of a club double, with the men's team also in the last four.
Chelsea made two changes from the first leg, with the welcome return of captain Magda Eriksson and Niamh Charles also coming in for Jonna Andersson and Guro Reiten.
Bayern were able to recall the prolific Lea Schuller, who was preferred to Simone Laudehr.
The home side began well and were rewarded with a fine goal in the 10th minute, Kirby playing a skilful one-two with Sam Kerr before slotting the ball into the bottom corner.
Only an excellent block from Jess Carter denied Lineth Beerensteyn from equalising five minutes later, but Bayern were level just before the half-hour mark.
It was a moment of real quality from Zadrazil, who picked up the ball 25 yards from goal after a corner had been cleared, took a touch and then smashed it into the top corner.
The visitors had a golden chance to claim a precious second away goal in the 38th minute when Beerensteyn won the ball in midfield and played in Schuller, who shot wide.
Two minutes before the break, Chelsea went back in front through Ji. Her free-kick hit the Bayern wall but, when the ball came back to her, she bobbled a shot past the unsighted Laura Benkarth and into the bottom corner.
Bayern began the second half with greater impetus but more good defending from Carter kept Chelsea in front, and the tension grew as the minutes ticked by.
Chelsea had failed to create another clear-cut opportunity until the 84th minute, when Harder dramatically scored a third goal for the hosts.
A free-kick to the near post from Carter caught out Bayern and Harder nipped in to flick a header into the net.
There was still danger for Chelsea, with one goal for Bayern enough to change the result.
Kerr should have scored another on the break and only desperate defending kept out the Germans, with keeper Benkarth forward, before a break ended with Kirby slotting into an empty net.
Earlier, Barcelona beat Paris Saint-Germain 2-1 for a 3-2 victory on aggregate. All the goals came in the first half. Lieke Martens put Barca two up, Marie-Antoinette Katoto quickly pulled one back but the Catalan side held on.
Hayes: I'm so proud of myself
Chelsea Women manager Emma Hayes to BT Sport:
"I've worked my whole life for today. I'm so proud of those players, they delivered, they're resilient and everyone did everything they can. In these situations, it's so tense.
"I'm going to say this to every coach sitting at home - this is thousands of hours, thousands of travelling, thousands of set-backs, working with different teams, different moments.
"I'm so proud of myself. I got to this level through my hard work, my determination and I'm fortunate enough to be working for a football club that I adore, that have given me licence to do this and I work with a set of players that were always in control, even when I didn't feel like I was! But they did everything possible today."
shineEntertainm
621
that game was so full with a lot of pressure at the end of the game, I was really scared. am so happy for you 💙💙 lioness , now come on you men lions. bravo 💙💙💙
BenChillwell
594
She has just replace Mourinho are the new Special one 💙💙💙
riealpsu
482
Chelsea men team be like, that's great, we're on our way
cukelrty
337
slowly but surely english teams are conquering Europe 🇪🇺 again ....
ChelseaFC_Addict
232
Woman in form, name any other best striker I'll listen to the radio. She nearly scored 4 goals against City Congratulations to Chelsea FC women now the men's team are 200% motivated they'll be joining you in the finals 🤩🤩🤩🤩🥰🥰🥰😍😍😍😍 This is Chelsea FC year 💙