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