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If $f$ is continuous and $\int_{0}^{4} f(x) d x=10,$ find $\int_{0}^{2} f(2 x) d x$

5

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 4

The Substitution Rule

Integration Techniques

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

00:37

If $ f $ is continuous and…

00:34

If $f$ is continuous and $…

01:17

01:00

08:19

If $f$ is a continuous fun…

03:22

Suppose that $f(1)=2, f(4)…

0:00

Suppose that $ f(1) = 2 $,…

02:01

Show that if $f$ is contin…

02:31

04:44

$$\begin{aligned}&…

01:49

If $f(0)=g(0)=0$ and $f^{\…

05:17

02:29

Assume $f$ and $g$ are eve…

04:10

If $ f(0) = g(0) = 0 $ and…

04:03

Suppose that $f(x) \geq 0$…

00:25

calculate the integral, as…

01:05

Suppose that $\int_{0}^{4}…

00:58

01:25

00:44

this question asked us to find the given integral. What we know is that we can do u substitution. We can make you two acts, which means R D. X is 1/2 d'you, which means we can pull out 1/2 because it's a constant maker integral from 0 to 4, cause we're changing the bounds off of you, d you, which means we have 1/2 times 10 because we know the integral from 04 f of X. Jax's tense 10 divided by two is simply five five is our solution.

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