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Integrate the functions.$$\frac{1}{\sqrt{7-6 x-x^{2}}}$$

Calculus 2 / BC

Chapter 7

Integrals

Section 4

Integrals of some Particular Functions

Integration Techniques

Missouri State University

Campbell University

University of Nottingham

Boston College

Lectures

01:53

In mathematics, integratio…

27:53

In mathematics, a techniqu…

02:04

Evaluate.$$\int_{0}^{\…

05:29

Evaluate the integral.

01:10

Evaluate the integral.…

03:04

Use the Substitution Formu…

00:50

Evaluate using Table 1.

02:42

01:13

01:02

Evaluate the definite inte…

01:07

02:38

01:14

Determine these indefinite…

01:28

Make the given substitutio…

02:34

05:18

01:12

Evaluate definite integral…

01:25

Find the antiderivative.

01:17

05:21

Evaluate the integrals.

01:43

03:36

Hello. We have our number 12 in this problem we need to integrate one by seven minus six. X minus X squared under the square root. Okay so before going and there's quiet but let us just right This has 7 -6 x. My sex choir. If we take minus has common it will become access square plus 6697. Now we could just make it's quiet perfect square So explosive. Three whole square with all three came from the coffee half of the coefficient of X -7 -9 which means minus X plus three whole square less 16. Now let us right here It becomes equal to one by 16 minus X plus three whole square under the square root. And we need to integrate like this so we have to substitute X plus three equal to T. So the X equal to D. T. This becomes one by 2 16 is for square minus T. Square under the square root D. T. So this is just like one by a Squire. My access square under the square root dX. Okay, so a square mindset square, the square root sign. This is a universe X by a sign was actually able to see. Yes. So here our answers should be Sign Diversity by four. Let's see the same universe. She is X plus three by four. Let's see. They should be the answer. Okay, For question # 12. Thank you.

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