Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Integrate each of the given functions.$$\int \frac{d x}{\sqrt{16-x^{2}}}$$

$\sin ^{-1}\left(\frac{x}{4}\right)+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 8

Integration by Trigonometric Substitution

Integrals

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:34

Evaluate each integral.

00:28

Determine the following in…

00:29

02:08

Evaluate the following int…

02:48

Evaluate the integral.…

05:51

02:32

Evaluate the integrals.

04:53

03:40

So hello everyone today we're gonna solve the given integral. They say they can't do this question which you there's econometric substitution. So the three fundamental equations for uh economics, population is given over here. I hope you guys remember this. It will be given a new textbook to so we're given route of sexually my ex square which can be in the form of the first one. Uh root of experiments expert A as as a result of 16 which is for so you get X. As and sign. He does and you get dx my next girlfriend he actually get as um and the scientific before scientist to yeah four course theater and you can get teacher as at sign any worse of expire for. So you get signed inverse of X by four. Uh So you have here men um equations here that you're gonna replace for Tito. So that's all this question you need to put it in terms of Tito. So um should be one over room 12 16 minus X. As for science Tito as they found out. And two wow. So it does adult. The multiplication sign into um DX which is for cost data and gonna be deep heat out here too. The forecast data details. And then do you need to simplify this? I have the background noise so forecast to the theater over. Um And so that you get 16 minus. I mean it's all inside the spirit sign. He gets extreme minus 16. Science Great leader. So you can take 16 common one minus sign where a teacher and as for crash teacher. No you can take the 16 outside and you get or outside and root ball. No 11 minute. Science for theater can be identified as a drug biometric identity. To remember Science where you can That's four square data as you can from one. So questionnaire Utah can be written as All right. Cause square feet. Again classified data Henderson has one man was saying security to so replacing that back what my self worth it can be not square. Yeah Peter. Um Now the four cancels out and it keeps you close data over cost data. The theater she leaves you with integration of born D. Peter. And when you integrate with this integration all one is um people itself tragedy to now remember remember Pita is actually just um It will be up to see. So Zika is just as you found out sign and worse experience for that. She and yeah that is your answer. That's your friend lines are for. I just question. Alright guys understood that and thanks for watching.

View More Answers From This Book

Find Another Textbook

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…

Evaluate each integral.$$\int \frac{d x}{x \sqrt{16+x^{2}}}$$

Determine the following indefinite integrals.$$\int \frac{d x}{\sqrt{x^{…

Determine the following indefinite integrals.$$\int \frac{d x}{x \sqrt{1…

Evaluate each integral.$$\int \frac{d x}{\sqrt{x^{2}-16}}, x>4$$

Evaluate the following integrals.$$\int \frac{\sqrt{16-x^{2}}}{x^{2}} d …

Evaluate the integral.$$\int \frac{d x}{x^{2} \sqrt{x^{2}-16}}$$…

Evaluate the integral.$$\int \frac{x^{2}}{\sqrt{16-x^{2}}} d x$$…

Evaluate the integrals.$$\int \sqrt{x^{2}+16} d x$$

Evaluate the integral.$\int \frac{d x}{\sqrt{x^{2}+16}}$

Evaluate the integrals.$$\int \frac{1}{x^{2} \sqrt{16-x^{2}}} d x$$

03:21

Give the proper trigonometric substitution and find the transformed integral…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.