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.
1)∫ 6 csc^3 (x) cot x dx
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!