Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Evaluate the integral.$\int \sqrt{1-4 x^{2}} d x$

$\frac{1}{4} \sin ^{-1}(2 x)+\frac{1}{2} x \sqrt{1-4 x^{2}}+C$

Calculus 2 / BC

Chapter 6

TECHNIQUES OF INTEGRATION

Section 2

Trigonometric Integrals and Substitutions

Integration Techniques

Improper Integrals

Missouri State University

Oregon State University

Idaho State University

Boston College

Lectures

01:53

In mathematics, integratio…

01:48

In mathematics, an imprope…

01:47

Evaluate the integral.…

04:24

04:19

01:19

01:58

01:33

Evaluate the indicated int…

05:48

Evaluate the integral.

01:23

Evaluate the integrals.

04:11

01:20

00:39

03:36

01:29

06:23

02:09

00:56

03:07

02:37

Evaluate the following int…

03:00

04:49

heavy of evaluate the integral under Route one minus four X squared. Not DX, no, I'm going to substitute picks. Us scientific data do I dread to so we'll get D excess Hussein. So you're saying Tito, divide by two dot do Tito. So then you go to gums under wrote one minus four. X Square means sine squared Tito Divide by two and two will become four. Because it's squaring is because x squared right dot dx is assigned to Tito again. School ST Edo and by two ending outside Dalton Did Ito No it before, and four We can float. So one divide by two under Route one minus science Cruelty does one minus and 20 days. Hussein's Kotido, not Hossein teacher dot dictator and ritual recalls to one by two so it really co sign Teda so called science either times for 70 days. Coastline square Tito do Tito We can use them formula that Hussein Square Tita is equal to one place consigned to Peter Divide by two so they giggle becomes one life to anything outside Chittagong one before one place consigned to teeter dot did not simply we can integrate So one by four This is Peter. Bless sane Do do dirty word by to let's see, we see the content of indignation there to have include because they're definitely in Tripolis. Indefinite. Integral. Now we have to convert teacher and signed to a leader in Dems off X. So initially we have taken excess sign duty to buy do Scientific. I do so from here. Two x will be equal to sign Tito or weaken right. Tita is recalls to sign in words two weeks now the difficult plate signed to leader in terms off X So we know that signed to Tito is equals to science Teacher time school ST Ito Dude aims and two scientists are we know it is Ah, two weeks so they can write Twix and constantly that we know it is equal to a narrow one minus sine squared Tito. Now we can blood really off sine squared in the hair So two times two weeks under Route one minus science creditable be quotes to four x squared. So we'll get four X under Route one minus four X squared. So we are Brenda value off assigned to treat also and it also simply or the black hair. So you get one by four. Together we calculated as signing worst weeks plus sign to three days for X under route one minus four X Square and divide by two as it is. Bless. See? So after a simplification, we get is equal to signing words two weeks. Divide before plus X under route one minus four X square and divide by two. Bless, See? So this is answer for the Ngoga 101 minus four x squared, not dicks. I hope you got the problem. Thank you.

View More Answers From This Book

Find Another Textbook

In mathematics, integration is one of the two main operations in calculus, w…

In mathematics, an improper integral or infinite integral is a type of integ…

Evaluate the integral.$$\int \frac{1}{\sqrt{4-x^{2}}} d x$$

Evaluate the integral.$$\int \sqrt{4-x^{2}} d x$$

Evaluate the integral.$\int x \sqrt{1-x^{4}} d x$

Evaluate the integral.$$\int \frac{x}{\sqrt{1-x^{4}}} d x$$

Evaluate the integral.$$\int \frac{2 x^{3}}{\sqrt{1-x^{4}}} d x$$

Evaluate the indicated integral.$$\int \frac{x}{\sqrt{1-x^{4}}} d x$$

$ \displaystyle \int \frac{\sqrt{x^2 - 1}}{x^…

Evaluate the integrals.$$\int \frac{1}{\sqrt{x^{2}+4}} d x$$

Evaluate the indicated integral.$$\int \frac{1}{x \sqrt{x^{4}-1}} d x$$<…

Evaluate the integrals.$$\int \frac{d x}{x \sqrt{1+4 x^{2}}}$$

$ \displaystyle \int^4_1 \frac{2 + x^2}{\sqrt…

Evaluate the integral.$$\int_{\sqrt{2}}^{2} \frac{\sqrt{2 x^{2}-4}}{…

Evaluate the integrals.$$\int \frac{x}{\sqrt{x^{2}-4}} d x$$

$ \displaystyle \int x \sqrt{1 - x^4}\ dx $

Evaluate the integrals.$$\int \frac{2}{\sqrt{x^{2}-4}} d x$$

Evaluate the integral.$$\int_{1}^{4} \frac{x^{2}+1}{\sqrt{x}} d x$$

$ \displaystyle \int \frac{dx}{x^2 \sqrt{4x^2…

Evaluate the following integrals.$$\int_{-2}^{-1} \sqrt{-4 x-x^{2}} d x$…

Evaluate the integrals.$$\int \frac{d x}{x \sqrt{x^{4}-1}}$$

$ \displaystyle \int \frac{1}{x^2 \sqrt{4x + …

01:42

Evaluate the definite integral.$$\int_{-\pi / 4}^{\pi / 4}\left(x^{3}+x^…

08:01

(a) Graph the functions $f(x)=1 / x$ . and $g(x)=1 / x^{0.9}$ in the viewing…

02:35

$11-20=$ Sketch the region enclosed by the given curves andfind its area…

02:18

Evaluate the integral.$\int \tan ^{2} \theta \sec ^{4} \theta d \theta$<…

00:32

Evaluate the integral.$\int \tan ^{2} x d x$

03:52

Evaluate the integral.$\int \frac{t^{5}}{\sqrt{t^{2}+2}} d t$

03:32

Evaluate the integral using the indicated trigonometric substitution. Sketch…

06:17

$7-34=$ Evaluate the integral.$$\int_{0}^{1} \frac{2 x+3}{(x+1)^{2}} d x…

05:11

Let$$g(x)=\left\{\begin{array}{ll}{x} & {\text { if } x < 1} \\ {…