I am stuck with 2 questions.(adsbygoogle = window.adsbygoogle || []).push({});

1. http://132.239.150.164/math/img/math_967.5_fabcf8ac5b3f2459050993af33426844.png[/URL]

2. http://132.239.150.164/math/img/math_972_41ec111060693034ac0775fd52778392.png[/URL]

2. Relevant equations

http://132.239.150.164/math/img/math_989.5_89c6805f9e6a047e24c9d1b535209efd.png

3. The attempt at a solution

1.

I take u= (4-x)^(1/2)

dv = xdx

du = 1/2* (4-x)^(-1/2)

v= (x^2)/2

I get stuck at

((x^2)/2)*(4-x)^(1/2)- ∫[(x^2)dx/4*(4-x)^(1/2)

2. I take u= (arcsin x)^2 dv=dx or 1

du= (2arcsin x)/((1-x^2)^(1/2)]

v=x

so

x(arcsin x)^2 -2 ∫[(x arcsin x dx)/(1-x^2)^(1/2)]

I don't know what to do after that.

How do I solve the red.

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# Homework Help: Integration by parts

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