Triple Integration in Cartesian Coordinates

Practice Questions

Calculus 3 › Triple Integration in Cartesian Coordinates

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$\begin{align*}&\text{Evaluate the triple integral}\int_{-13}^{2}\int_{-13}^{-7}\int_{6}^{9}(3x + y + 2z)dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{10}^{13.5}\int_{5}^{7}\int_{-7}^{-2}(\frac{(8\cdot 3^ysin(3x))}{(31z)})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{3}^{5.5}\int_{4}^{5}\int_{-6}^{-1.5}(\frac{(3\cdot 3^{(\frac{z}{2})}\cdot 3^y)}{(74x^{2})})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-6}^{-4}\int_{-3}^{-1}\int_{6}^{8}(\frac{(sin(4z)e^{(-y)})}{(5x)})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-9}^{-6}\int_{6}^{9}\int_{10}^{15}(\frac{(11e^{(-\frac{x}{2})})}{(8z)})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-2}^{3}\int_{-6}^{-5}\int_{7}^{10}(\frac{(10sin(3y)e^{(2z)})}{(43\cdot2^{(\frac{x}{2})})})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-9}^{-6}\int_{4}^{5}\int_{-1}^{0}(12z^3 - 2x)dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{5}^{10}\int_{-2}^{3}\int_{1}^{5}(2x + 4y - 3x^2)dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-2}^{3}\int_{7}^{11}\int_{-10}^{-6}(\frac{(43cos(x + 1)cos(4z)sin(y + 2))}{2})dxdydz\end{align*}$

$\begin{align*}&\text{Evaluate the triple integral}\int_{-9}^{-6}\int_{4}^{5}\int_{10}^{11}(\frac{(6xe^{(-z)})}{(31y)})dxdydz\end{align*}$

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