Question

Integrate x^5 * sqrt(1 - 4x^2)
No Trig substitution. What should my first few steps be?

Answer 1

is this your question?
\[\int\limits x ^{5}\sqrt{1-4x ^{2}} dx\]

use partial intergration

Answer 2

yes

Answer 3

Should the u be x^5 or the sqrt section, or will both work equally well?

Answer 4

yes. lt u = x^ 5 and dv= sqrt(1 - 4x^2) dx
you'll do several integration by parts to find the answer...

Answer 5

i think that problem can be using u-subt method
look here :