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.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Short Answer

Step by step solution

Definition of integration

Given quantities

Finding the integral value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Further Mechanics and Thermal Physics

Nuclear Physics

Magnetism and Electromagnetic Induction

Astrophysics

Turning Points in Physics

Study anywhere. Anytime. Across all devices.

∫x=01∫y=243xdydx

Short Answer

Step by step solution

Definition of integration

Given quantities

Finding the integral value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Further Mechanics and Thermal Physics

Nuclear Physics

Magnetism and Electromagnetic Induction

Astrophysics

Turning Points in Physics

Study anywhere. Anytime. Across all devices.

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