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limit a riemann sum using an integral theyre tied together with the definition we just need delta x and x i star together thatll help us figure out what a and b are and what f of x is our sum can be factored they have three over n power once we factor it out let that be delta x well then that means b minus a is three and i delta x is three i over n whats in the parentheses is f of x i star that has a 3i over n in it when its one term like that let the x i star be zero plus the i delta x that means a is zero that means b is three then and that means f of x is x squared plus one integrate that and you got it hope thats what youre looking for let me know if you want something else in the comments thanks for watching