💬 👋 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 7 Days
Like
Report
Use the properties of integrals to verify the inequality without evaluating the integrals.
$ \displaystyle 2 \le \int^1_{-1} \sqrt{1 + x^2} \,dx \le 2\sqrt{2} $
$$2 \leq \int_{-1}^{1} \sqrt{1+x^{2}} d x \leq 2 \sqrt{2}$$
00:54
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 2
The Definite Integral
Integration
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
Boston College
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
02:55
Use the properties of inte…
02:22
01:14
03:08
Evaluate the integrals.
03:27
Use geometry and propertie…
00:53
Evaluate the integrals usi…
00:58
03:04
02:38
01:21
Evaluate the following int…
okay. We know the squirt of one has to be less than or equal to the square root of one plus X square, which is less than or equal to the sport of two. And the reason why is because zero is between is excellent exporters between zero and one because one is less than equal to one plus X squared, which is less than or equal to two. Therefore, we know we can write this as Tuas, less than or equal to the interval from negative one to the bounds of one times good of one plus X squared de axe, which is less than equal to two time squirt of two.
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
Use the properties of integrals to verify the inequality without evaluating …
Evaluate the integrals.$$\int \frac{d x}{x^{2} \sqrt{x^{2}-1}}, \quad x&…
Use geometry and properties of integrals to evaluate $\int_{0}^{1}(2 x+\sqrt…
Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus.<…
Evaluate the integrals.\begin{equation}\int_{1}^{\sqrt{2}} x 2^{\left(x^…
Evaluate the integrals.$$\int_{1}^{\sqrt{2}} x 2^{\left(x^{2}\right)} d …
Evaluate the following integrals.$$\int \frac{d x}{1-x^{2}+\sqrt{1-x^{2}…
