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
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.$$\int_{0}^{\…
05:29
Evaluate the integral.
01:10
Evaluate the integral.…
03:04
Use the Substitution Formu…
00:50
Evaluate using Table 1.
02:42
01:13
01:02
Evaluate the definite inte…
01:07
02:38
01:14
Determine these indefinite…
01:28
Make the given substitutio…
02:34
05:18
01:12
Evaluate definite integral…
01:25
Find the antiderivative.
01:17
05:21
Evaluate the integrals.
01:43
03:36
Hello. We have our number 12 in this problem we need to integrate one by seven minus six. X minus X squared under the square root. Okay so before going and there's quiet but let us just right This has 7 -6 x. My sex choir. If we take minus has common it will become access square plus 6697. Now we could just make it's quiet perfect square So explosive. Three whole square with all three came from the coffee half of the coefficient of X -7 -9 which means minus X plus three whole square less 16. Now let us right here It becomes equal to one by 16 minus X plus three whole square under the square root. And we need to integrate like this so we have to substitute X plus three equal to T. So the X equal to D. T. This becomes one by 2 16 is for square minus T. Square under the square root D. T. So this is just like one by a Squire. My access square under the square root dX. Okay, so a square mindset square, the square root sign. This is a universe X by a sign was actually able to see. Yes. So here our answers should be Sign Diversity by four. Let's see the same universe. She is X plus three by four. Let's see. They should be the answer. Okay, For question # 12. Thank you.
View More Answers From This Book
Find Another Textbook
In mathematics, integration is one of the two main operations in calculus, w…
In mathematics, a technique is a method or formula for solving a problem. Te…
Evaluate.$$\int_{0}^{\sqrt{7}} 7 x \sqrt[3]{1+x^{2}} d x$$
$ \displaystyle \int \frac{x}{\sqrt{x^2 - 7}}…
Evaluate the integral.$\int \frac{x}{\sqrt{x^{2}-7}} d x$
Use the Substitution Formula in Theorem 7 to evaluate the integrals.$$\i…
Evaluate using Table 1.$$\int \frac{d x}{\sqrt{x^{2}+7}}$$
Evaluate the integral.$$\int \frac{d x}{x^{2}-6 x-7}$$
$$\int_{-1 / \sqrt{2}}^{1 / \sqrt{2}} \fr…
Evaluate the definite integral.$\int_{0}^{1} \sqrt[3]{1+7 x} d x$
Evaluate the definite integral.$$\int_{0}^{1} \sqrt[3]{1+7 x} d x$$
Determine these indefinite integrals.$$\int \frac{-7}{\sqrt[3]{x^{2}}} d…
Make the given substitutions to evaluate the indefinite integrals.$$\int…
Evaluate definite integrals.$$\int_{2}^{6} \frac{1}{\sqrt{4 x+1}} d x$$<…
Find the antiderivative.$$\int \frac{4 x^{2}}{\sqrt{1-x^{6}}} d x$$
Evaluate the definite integral.
$ \displaystyle \int^1_0 \sqrt[3]{1 …
Evaluate the integrals.$$\int \frac{d x}{\sqrt{4 x^{2}-49}}, \quad x>…
Evaluate the integral.$\int \frac{6 x^{2}+7 x-6}{\left(x^{2}-4\right)(x+…
Use the Substitution Formula in Theorem 7 to evaluate the integrals.$$
Prove that:$$2 \sin ^{2} \frac{\pi}{6}+\operatorname{cosec}^{2} \fra…
04:02
Integrate the functions.$$\frac{1}{\sqrt{(x-a)(x-b)}}$$
01:23
Prove the following:$$\cot x \cot 2 x-\cot 2 x \cot 3 x-\cot 3 x \co…
01:26
At what points in the interval $[0,2 \pi]$, does the function $\sin 2 x$ att…
06:16
Integrate the rational functions.$$\frac{1-x^{2}}{x(1-2 x)}$$
04:04
Find the values of other five trigonometric functions in Exercises.$\sec…
01:09
Prove that:$$\cot ^{2} \frac{\pi}{6}+\operatorname{cosec} \frac{5 \p…
02:09
Find two positive numbers $x$ and $y$ such that $x+y=60$ and $x y^{3}$ is ma…
02:07
Using Theorem $6.2$, prove that the line joining the mid-points of any two s…
03:27
Find the coordinates of a point $\mathrm{A}$, where $\mathrm{AB}$ is the dia…
