You could use the identity:
kindly check... this is an integral without using the formula of trig integrals:
solution:
from the first integral
let u = sin(5x)
du = cos(5x)dx
from the right integral u multiply both denominator and numerator by (cot(5x) + csc(5x))
let u =
du =
integrated to :
i ended up having
the answer at back of book is supposed to be:
and you shud not use a formula of trig integral
but the trig formulas are not allowed:
example : integral of tan(x) = |ln sec(x)| + C
the formula of integrals tan, cot and sec and csc are not allowed becuz it is not yet discsed...
is my solution right? i think the only problem i hav is on logarithm & trig identity
Okay I see my mistake now, but I still can't convince my calculator they are the same for some reason.
So the two answers are the same. But why can't I plug an x in my calculator to see that the two expressions are the same??
-Dan
Edit: No problems with the calculator difficulty. I still had my calculator on "exact." The differences between calculating the two expressions are infinitesimal, as expected.