Trapezoidal sums

Practice Questions

AP Calculus AB › Trapezoidal sums

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$\begin{align*}&\text{The function }f(x)\text{ has the following values on the interval }x=[1,32]:\&f(1)=15\&f(3)=-9\&f(7)=9\&f(13)=-15\&f(17)=14\&\text{Approximate the integral of }f(x)\text{ on this interval using the trapezoidal rule.}\end{align*}$

$\begin{align*}&\text{Using }3\text{ intervals, and the method of trapezoidal sums approximate the integral:}\&\int_{3}^{7.2}(11cos(6e^{(4x)}))dx\end{align*}$

$\begin{align*}&f(3)=-7\&f(13)=13\&f(23)=12\&f(33)=14\&f(43)=6\&\text{Approximate, using a trapezoidal sum, }\int_{3}^{43}f(x)\end{align*}$

Approximate the integral using the trapezoidal rule:

$\int_{0}^{6}x^2\sin(\frac{\pi x}{12})dx$

$\begin{align*}&\text{The function }f(x)\text{ has the following values on the interval }x=[-2,34]:\&f(-2)=8\&f(7)=-14\&f(16)=19\&f(25)=2\&f(34)=7\&\text{Approximate the integral of }f(x)\text{ on this interval using the trapezoidal rule.}\end{align*}$

$\begin{align*}&f(-4)=20\&f(4)=18\&f(14)=7\&f(18)=20\&\text{Approximate, using a trapezoidal sum, }\int_{-4}^{28}f(x)\end{align*}$

$\begin{align*}&\text{Approximate }\int_{0}^{54}f(x)\&\text{Using the trapezoidal rule, if }f(x)\text{ has the values:}\&f(0)=18\&f(18)=-14\&f(36)=17\&f(54)=12\end{align*}$

$\begin{align*}&\text{Calculate the trapezoidal sums integral approximation of :}\&\int_{5}^{13}(-4cos(14e^{(6x)}))dx\&\text{Using points over }2\text{ intervals.}\end{align*}$

Solve in the integral by method of trapezoidal sums

$\int_{3}^{5}\cos(e^{3x})dx$

$\begin{align*}&\text{The function }f(x)\text{ has the following values on the interval }x=[2,22]:\&f(2)=7\&f(5)=-15\&f(7)=-20\&f(11)=2\&\text{Approximate the integral of }f(x)\text{ on this interval using the trapezoidal rule.}\end{align*}$

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