Left Riemann Sum from a Table
The table below shows selected values for a continuous function $$f$$.
| $$x$$ | $$0$$ | $$25$$ | $$30$$ | $$50$$ |
|---|---|---|---|---|
| $$f(x)$$ | $$4$$ | $$6$$ | $$8$$ | $$12$$ |
What is the left Riemann sum approximation of $$\displaystyle\int_0^{50} f(x) \, dx$$ using the subintervals $$[0,25]$$, $$[25,30]$$, and $$[30,50]$$?
A
390
B
360
C
380
D
290
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