💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade free for 30 days
Like
Report
Evaluate each definite integral.$$\int_{1}^{4} \frac{3}{(3 x+2)^{2}} d x$$
$\frac{9}{70}$
Calculus 1 / AB
Calculus 2 / BC
Chapter 7
Integration
Section 4
The Fundamental Theorem of Calculus
Integrals
Integration Techniques
Missouri State University
Campbell University
Idaho State University
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
01:53
Evaluate each definite int…
01:18
01:30
Evaluate the following int…
00:55
01:50
01:23
02:22
Evaluate the integral.…
01:21
11:02
Evaluate the integrals…
02:15
Evaluate the integrals.
problem. 13 were asked to find this definite in and to do this problem, since it's has, since it has a fraction and a function inside of the function where we're gonna use U substitution and let you equal three X Plus two and we choose this for you because it's a function inside of a square. So if you find the derivative of both sides, you get three d ETS. And this comes out handy because we have a three D X in our originally kitchen so we can go ahead and write this. But before doing that, we have to notice that we have bounds and in the bounds these air expounds We have changed them too. Why bound? And to do that, we just plug it into this equation who, 33 times before plus two to find the upper bound and to find the lower bound we would do three times one plus two. So the upper round is 14 and the lower bound is five. And now we can do the U substitution so would be won over you squared times the u. So this equals you to the minus one over. Now get a one. And you would evaluate this from I to 14. So that just means you have to plug in 14 in replacement of you and then minus Have to plug in five in replacement of you. And this gives us one over 14 minus one word. Negative five. Is this nine over 70?
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, integration is one of the two main operations in calculus, w…
In grammar, determiners are a class of words that are used in front of nouns…
Evaluate each definite integral.$$\int_{0}^{4}-\left(3 x^{3 / 2}+x^{1 / …
Evaluate the following integrals.$$\int_{-1}^{1}\left(x^{3}-2 x^{2}+4 x\…
Evaluate the following integrals. $$\int_{-1}^{1}\left(x^{3}-2 x^{2}…
Evaluate each definite integral.$$\int_{2}^{3}\left(3 x^{-3}-5 x^{-4}\ri…
Evaluate the integral.$$\int \frac{4}{x^{1 / 3}\left(1+x^{2 / 3}\right)}…
Evaluate the following integrals.$$\int \frac{d x}{x^{1 / 2}+x^{3 / 2}}$…
Evaluate the integrals$$\int_{-1}^{1}\left(x^{2}-2 x+3\right) d x
Evaluate the integrals.$$\int_{-1}^{1}\left(x^{2}-2 x+3\right) d x$$
02:20
Fish Population An isolated fish population is limited to 4000 by the amount…
02:45
Use substitution to find each indefinite integral.$$\int(-4 t+1)^{3} d t…
01:15
Find the following.$$\int \frac{\sqrt{x}+1}{\sqrt[3]{x}} d x$$
02:46
Evaluate each double integral.$$\int_{1}^{4} \int_{0}^{x} \sqrt{x+y} d y…
03:17
Find the area between the curves in Exercises 1–24.$$x=0, \quad x=4, \qu…
02:27
Evaluate each definite integral.$$\int_{0.5}^{1}\left(p^{3}-e^{4 p}\righ…
04:52
Distance Suppose $v(t)=9 t^{2}-3 \sqrt{t}$ and $s(1)=8 .$ Find$s(t)$ .…
01:54
Use the Fundamental Theorem to show that the following are true.$$\int_{…
Crime In $1995,$ the rate of violent crimes in New York Citycontinued to dec…
04:06
In Exercises $1-10,$ use $n=4$ to approximate the value of the given integra…
Create an account to get free access
Join Numerade as a
Already have an account? Log in