## anonymous 5 years ago Evaluate the Indefinite Integral 2u(u^2+1)^2 du

1. amistre64

D(u^2 +1 ) = 2u

2. anonymous

Try using substitution and let x = u^2 + 1

3. amistre64

lol.......trig sub ;)

4. anonymous

not so much trig sub but regular substitution

5. anonymous

x = u^2 + 1 dx = 2u du $\int\limits_{}^{}x^2dx = \frac{1}{3}x^3 = \frac{1}{3}(u^2 + 1)^3$

6. amistre64

...trig sub!!... its all I can do ;)

7. anonymous

amistre loves his trig subs

8. amistre64

trig sub tis; trig sub that; but the trig sub tshirt and ride the rides.....trig sub!!!!

9. anonymous

ROFLLL!!

10. anonymous

chiaroscuro - was that your final answer? It's actually a multiple choice question and I can't seem to figure out if I got the right answer or if it's "none of the above"

11. anonymous

1/3 (u^2 + 1)^3