Riemann Sum: Left Evaluation

Practice Questions

AP Calculus BC › Riemann Sum: Left Evaluation

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$\begin{align*}&\text{Using the method of left point Riemann sums approximate the integral:}\&\int_{0}^{12}(11sin(20sin(x)))dx\&\text{Using }3\text{ intervals.}\end{align*}$

$\begin{align*}&\text{Calculate the Riemann sums integral approximation of :}\&\int_{-2}^{11.6}(\frac{18}{3^{(4tan(4x))}})dx\&\text{Using left points over }4\text{ intervals.}\end{align*}$

$\begin{align*}&\text{Using the method of left point Riemann sums approximate the integral:}\&\int_{0}^{3}(-16sin(2x^{2}))dx\&\text{Using }3\text{ intervals.}\end{align*}$

Find the Left Riemann sum of the function

on the interval divided into four sub-intervals.

$\begin{align*}&\text{Using }3\text{ intervals, and the method of left point Riemann sums approximate the integral:}\&\int_{-1}^{10.7}(-275tan(4x)^{2})dx\end{align*}$

$\begin{align*}&\text{Using the method of left point Riemann sums approximate the integral:}\&\int_{-4}^{4.4}(6cos(11e^{(2x)}))dx\&\text{Using }3\text{ intervals.}\end{align*}$

Given a function $y=\frac{1}{4}x+2$ , find the Left Riemann Sum of the function on the interval divided into four sub-intervals.

$\begin{align*}&\text{Using }3\text{ intervals, and the method of left point Riemann sums approximate the integral:}\&\int_{5}^{6.5}(6tan(19cos(5x)))dx\end{align*}$

$\begin{align*}&\text{Using the method of left point Riemann sums approximate the integral:}\&\int_{1}^{6.4}(14tan(14cos(6x)))dx\&\text{Using }3\text{ intervals.}\end{align*}$

$\begin{align*}&\text{Using }4\text{ intervals, and the method of left point Riemann sums approximate the integral:}\&\int_{3}^{22.6}(10tan(8e^{(4x)}))dx\end{align*}$

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