Definite integral problem?
If f is a continuous function such that the integral from 0 to x f(t)dt = (8x)/(x^2+6), find the value of f(1).
How are we supposed to integrate when you have dt instead of dx? Can someone please show me how to do this problem?
Thank you so much!
Answers & Comments
Verified answer
f(t) = d /dt ∫ 8t / (t^2+6) dt , limits [0,x]
By Fundamental Theorem , f(x) = 8x / (x^2+6)
f(1) = 8 / (1^2+6) = 8/7