Question

if the integral ( [ )

([ f(t) ,t, 0, 8) = k

Find [ (3x^2f(x^3), x, 0, 2)

Answer 1

oh the answer is k they said the integral of the function i said to find from 0 to 2 is equal to the integral from 0 to 8

WHYYY

Answer 2

Why would you say that? I understand you use u subsitution u= x^3 and then eventually you get an integral from 0 2 of the function but i dnt understand why the integral from 0 to 2 and the integral from 0 to 8 would be the same?