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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integration by parts

**Physics Forums | Science Articles, Homework Help, Discussion**