Posted by **alex** on Sunday, February 13, 2011 at 6:41pm.

LEt f and g be continous functions with the following properties

i. g(x) = A-f(x) where A is a constant

ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx

iii. for the integral from 2 to 3 f(x)dx = -3A

a find the integral from 1 to 3 of f(x)dx in terms of A.

b. find the average value of g(x) in terms of A, over the interval [1,3]

c. Find the value of k if the integral from 0 to 1 f(x+1)dx=kA

need the steps for these problems worked out plz

## Answer this Question

## Related Questions

- calculus - LEt f and g be continous functions with the following properties i. ...
- math - LEt f and g be continous functions with the following properties i. g(x...
- calculus (please with steps and explanations) - consider the function f that is ...
- Calculus (urgent help) - consider the function f that is continuous on the ...
- Calculus - Use the symmetry of the graphs of the sine and cosine functions as an...
- calculus - consider the function f that is continuous on the interval [-5,5] and...
- Math/Calculus - How would I solve the following integral with the substitution ...
- Calculus II/III - A. Find the integral of the following function. Integral of (x...
- Integration-Calculus - How do I integrate this? constant(1- z/[sqrt (z^2 + ...
- Calculus - Find the volume of the solid whose base is the region in the xy-plane...