Monday

March 30, 2015

March 30, 2015

Posted by **Alex** on Saturday, December 10, 2011 at 5:26pm.

find the exact value of

integral from [0,9/16]

sqrt(1 - sqrt(x))/(sqrt(x))

- calculus II -
**Katie**, Saturday, December 10, 2011 at 6:23pmDo a u substitution.

u= 1- sqrt(x)

du = -(1/(2*sqrt(x)))dx

Change your limits by plugging them into the u equation.

u= 1 - sqrt(0) = 1-0 = 1

u= 1 - sqrt(9/16) = 1-(3/4) = 1/4

Substitute the u values in for x.

The new integral is -2*sqrt(u) du from [1,1/4]

OR

2*sqrt(u) du from [1/4,1]

You integrate and get 2*(2/3)*u^(3/2) evaluated from [1/4,1]. Plug in 1, then plug in (1/4). Subtract these two values and you should get your answer.

I got 7/6 or 1.166667

**Answer this Question**

**Related Questions**

Calculus - Graph the curve and find its exact length. x = e^t + e^-t, y = 5 - 2t...

Math/Calculus - Solve the initial-value problem. Am I using the wrong value for ...

Calculus - so we are doing integrals and I have this question on my assignment ...

Calculus URGENT test tonight - Integral of: __1__ (sqrt(x)+1)^2 dx The answer is...

Calculus - Evaluate the indefinite integral: 8x-x^2. I got this but I the ...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

Calculus - Hi. In an integration solution, the integral of (1/(sqrt (8-u squared...

Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...

Math Help please!! - Could someone show me how to solve these problems step by ...

calculus - Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I ...