Chapter 5: Q1P (page 247)

$\int_{x = 0}^{1} \int_{y = 2}^{4} 3 xdydx$

Short Answer

Expert verified

The solution for the given integral $\int_{x = 0}^{1} \int_{y = 2}^{4} 3 xdydx$ is 3.

Step by step solution

Definition of integration

Integration is a way of finding the whole by adding or summing the parts.

Given quantities

The integral $\int_{x = 0}^{1} \int_{y = 2}^{4} 3 x dydx$ ,

To find the value for the given integral.

Finding the integral value

Integrate the given value,

$\int_{x = 0}^{1} \int_{y = 2}^{4} 3 x dydx = (y_{2}^{4}) (\frac{3}{2} x^{2}_{0}^{1}) = 2 \times \frac{3}{2} = 3$

Therefore, the required solution for the given integral is $\int_{x = 0}^{1} \int_{y = 2}^{4} 3 x dydx$ is 3.

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$\int_{x = 0}^{1} \int_{y = 2}^{4} 3 xdydx$

Short Answer

Step by step solution

Definition of integration

Given quantities

Finding the integral value

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Short Answer

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$\int_{x = 0}^{1} \int_{y = 2}^{4} 3 xdydx$