Higher integral problem 1 / Sint DT thank you

Higher integral problem 1 / Sint DT thank you

∫1/sint dt = ∫ csc t dt = ∫ csc t ( csc t - cot t)/ ( csc t - cot t) dt
= ∫ ( (csc t )^2 - (cot t)(csc t) )/ (- cot + csct ) dt
= ∫ 1/( csc t - cot t) d(csc t - cot t)
= ln| csc t - cot t | + C
Don't just remember formulas, remember methods and techniques, which include some common and useful techniques