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Evaluate the integral. $\int \frac{d u}{u \sqrt{…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70

Problem 49 Hard Difficulty

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

Answer

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

Related Courses

Calculus 2 / BC

Essential Calculus Early Transcendentals

Chapter 6

TECHNIQUES OF INTEGRATION

Section 2

Trigonometric Integrals and Substitutions

Related Topics

Integration Techniques

Improper Integrals

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Watch More Solved Questions in Chapter 6

Problem 1
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Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70

Video Transcript

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.

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Essential Calculus Early Transcendentals

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