Explore BrainMass

# Proving an Integral Equation

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

If f is continuous for all real numbers, prove that the integral from a to b of f(x+c)dx=the integral from a+c to b+c of f(x)dx. For the case where f(x) is greater than or equal to 0, draw a diagram to interpret this equation geometrically as an equality of areas.

https://brainmass.com/math/integrals/proving-integral-equation-38429

#### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

If f is continuous for all real numbers, prove that the integral from a to b of f(x+c)dx=the integral from a+c to b+c of f(x)dx. ...

#### Solution Summary

An integral equaion is proven. Diagrams are included. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

\$2.49