Help with this calculus problem.

  • MHB
  • Thread starter JWelford
  • Start date
  • Tags
    Calculus
In summary, calculus is a fundamental tool in various fields, such as physics, engineering, and economics, used to study and analyze change and motion. It allows us to solve complex problems and make predictions, and is essential for advanced studies in science and engineering. The two main branches of calculus are differential and integral calculus, which focus on rates of change and areas/volumes, respectively. To solve a calculus problem, one must apply the relevant formulas and techniques to the given information. Additionally, calculus can be applied to real-life situations, such as predicting population growth and designing structures, to understand and optimize the behavior of complex systems.
  • #1
JWelford
3
0
\[\int_{-\infty}^{-0.4088}e^{-u^2/2} \,du\]

Sorry i just can't seem to get these equations to actually display properly
 
Last edited:
Physics news on Phys.org
  • #2
This integral does not have an elementary antiderivative, which means the Fundamental Theorem of the Calculus is not available to you. You're best off doing it numerically. This integral is highly related to standard normal tables (it's not quite there, but you could multiply by a $1/\sqrt{2\pi}$ to get it into a standard form). Then just look the value up in a table.
 

FAQ: Help with this calculus problem.

What is calculus used for?

Calculus is used to study and analyze change and motion in various systems. It is a fundamental tool in physics, engineering, economics, and other fields.

Why is calculus important?

Calculus allows us to solve complex problems and make predictions about the behavior of systems. It also provides a foundation for many other mathematical concepts and is essential for advanced studies in science and engineering.

What are the two main branches of calculus?

The two main branches of calculus are differential calculus and integral calculus. Differential calculus focuses on rates of change and slopes of curves, while integral calculus deals with calculating areas and volumes.

How do I solve a calculus problem?

To solve a calculus problem, you will need to apply the relevant formulas and techniques to the given information. This may involve finding derivatives, integrals, or limits. Practice and understanding of the concepts are key to successfully solving calculus problems.

Can calculus be applied to real-life situations?

Yes, calculus is used in many real-life situations, such as predicting the growth of populations, designing bridges and buildings, and analyzing financial markets. It helps us understand and optimize the behavior of complex systems in the physical world.

Similar threads

Replies
3
Views
2K
Replies
22
Views
3K
Replies
6
Views
2K
Replies
3
Views
2K
Replies
13
Views
3K
Replies
4
Views
2K
Replies
4
Views
2K
Back
Top