Can anyone instinctively see the answer to this integral (answer in text if you don’t want spoilers)

[Mos5180d]

So I was scrolling through social media when I saw this integral asking what the first 10 digits of the answer would be. Someone, seemingly instinctively commented saying it’s pi. Then said something along the lines of the first part is a forth of a circle and some other deductions but now I’ve lost the post and can’t revisit it!
Ive graphed it and it doesn’t seem to tell me much. Can anybody else look at this And realise without working that the answer is pi

 

[Otis]

… [Exercise asks for] the first 10 digits of the [integral evaluated] … Someone [said] it’s pi …. Can anybody [see why] the answer is pi …

Hi Mos. Neither the exercise answer nor the integral's value matches pi.

Ive graphed [the integrand] and it doesn’t seem to tell me much …

Can you see two regions between the curve and the x-axis? The one below the axis has larger area than the one above. Hence, the value of the integral must be a negative number (pi is a positive number, as you know).

?