Open Middle: Definite Integral Problem (2)

Creation of this resource was inspired by this problem created by Chris Bolognese.
[size=150]Source: [url=https://twitter.com/EulersNephew/status/1349896535828525057/photo/1]Chris Bolognese[/url][/size]
Try to find a solution. Show your work & thought process below.
Use this app to formatively assess your own work above. Can you find others?
Can you find another solution different from the one you obtained above? Try to do so.
Can you find another solution different from the two you found above?
– Tim Brzezinski

Information: Open Middle: Definite Integral Problem (2)