Asked by Erica
If, for all real number x, f(x) = g(x) + 5, then on any interval [a, b], what is the area of the region between the graphs of f and g?
Answers
Answered by
Marth
∫f(x)dx over [a,b] = ∫(g(x)+5)dx over [a,b].
By Addition rule of integrals, ∫(g(x)+5)dx = ∫g(x)dx + ∫5dx.
= ∫g(x)dx + 5(b-a)
By Addition rule of integrals, ∫(g(x)+5)dx = ∫g(x)dx + ∫5dx.
= ∫g(x)dx + 5(b-a)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.