Could someone help me with these two problems? I've been at them for an hour, but have very little clue how to go about solving either of them.
Homework Statement
1)∫ 6 csc^3 (x) cot x dx
Homework Equations
The Attempt at a Solution
6 ∫ csc^3 (x) dx) / tan x
csc^3 / tan x =...
∫sqrt(x^4/4 + 1/(x^4) + 1/2) dx from x = 1 to 4
Could someone help me solve this? I can't seem to find a substitution that works, or find the square root of (x^4/4 + 1/(x^4). Any help would be very appreciated.
Thanks in advance!