Mathematics OpenStudy (anonymous):

I have to take the integral of this: x/(sqrt(9- x^2)). The first step is to rewrite the integral as (-1/2)the integral of (9 - x^2)^(-1/2) (______x)dx. What goes in the space (_____x)? OpenStudy (anonymous):

$\int\frac{x}{\sqrt{9-x^2}}dx$ OpenStudy (anonymous):

yep that's the integral myininaya (myininaya):

let u=9-x^2 du=-2xdx -1/2 du=x dx OpenStudy (anonymous):

yep, I have that OpenStudy (anonymous):

straight forward u-sub. put $u=1-x^2$ $du=-2xdx$ OpenStudy (anonymous):

if you are answering a web question step by step it looks like you should fill in the blank with -2 OpenStudy (anonymous):

oh, just put the u-sub in the space? with (-1/2) on the ouside? OpenStudy (anonymous):

oh, okay thanks myininaya (myininaya):

$-1/2*\int\limits_{}^{}\frac{du}{\sqrt{u}}$ OpenStudy (anonymous):

your question was "what goes in the blank?" it is -2 OpenStudy (anonymous):

but why does that work? OpenStudy (anonymous): OpenStudy (anonymous):

backwards chain rule OpenStudy (anonymous):

okay OpenStudy (anonymous):

$\frac{d}{dx} f(u(x))=f'(u(x))u'(x)$ OpenStudy (anonymous):

so $\int f'(u(x))u'(x)dx = f(u(x))$ OpenStudy (anonymous):

thanks OpenStudy (anonymous):

yw

Latest Questions Laceefogg: In the circle graph, what is the measure of the central angle for carrots and potatoes combined? Round your answer to the nearest whole number.
10 minutes ago 0 Replies 0 Medals Mathplayer223: chemistry
41 minutes ago 2 Replies 0 Medals Trickjoker: I HAVE FOUND OUT THE ASHWIN THING!!!
30 minutes ago 20 Replies 1 Medal imbadkidjenna: What is the slope of the line that passes through the points (3, 5)(3,5) and (-1, 5) ?(u22121,5)? Write your answer in simplest form.
7 minutes ago 3 Replies 0 Medals Foreverangel: Find RT 10 m 13m 14 m 16 m
21 minutes ago 10 Replies 1 Medal Trickjoker: Which mod on QC is named ashwin?
40 minutes ago 54 Replies 0 Medals Mathplayer223: chemistry
53 minutes ago 4 Replies 0 Medals Trickjoker: Does anyone else know about this VERY IMPORTANT QC glitch? Sometimes, when you log on, it shows everyone else's profile picture as jay's.
1 hour ago 16 Replies 0 Medals Mathplayer223: chemistry
1 hour ago 2 Replies 0 Medals iosangel: Factor the expression completely over the complex numbers. y^4+14y^2+49
17 seconds ago 5 Replies 0 Medals