Question

Help with properties of integrals.

Answer 1

question?

Answer 2

\[\int\limits_{0}^{4}f(x)dx=4\]
\[\int\limits_{0}^{2}f(2x)dx=2\]

Why is this true?

Answer 3

because the textbook says that it is.

Answer 4

F(a) - f(b)

Answer 5

from the second one, let u = 2x, dx = 1/2 du, change the limits
x =0, u =0, x =2, u =4, then you have
\[\int _0^4\dfrac{1}{2} f(u) du\]

Answer 6

see the link now? or need some steps?

Answer 7

@Loser66 I got now. Thanks!

Answer 8

ok