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Definite integral as the limit of a Riemann sum

Next Problem

\displaystyle \int_0^{\pi} \sin x\,dx=\,?

Choose 1 answer:

A
$\displaystyle \lim_{n\to\infty}\sum_{i=1}^n\sin\left(\dfrac i n\right)\cdot\dfrac\pi n$
B
$\displaystyle \lim_{n\to\infty}\sum_{i=1}^n\sin\left(\dfrac{\pi i}n\right)\cdot\dfrac\pi n$
C
$\displaystyle \lim_{n\to\infty}\sum_{i=1}^n\sin\left(\dfrac{\pi i}n\right)\cdot\dfrac i n$
D
$\displaystyle \lim_{n\to\infty}\sum_{i=1}^n\sin\left(\dfrac i n\right)\cdot\dfrac i n$

Definite integral as the limit of a Riemann sum

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