Integral cos(x+a)/sin(x+b)

Asked by rraj.15266 | 13th Nov, 2017, 07:30: AM

Expert Answer:

begin mathsize 16px style integral fraction numerator cos left parenthesis straight x plus straight a right parenthesis over denominator sin left parenthesis straight x plus straight b right parenthesis end fraction dx
integral fraction numerator cos begin display style open square brackets open parentheses straight x plus straight b close parentheses minus open parentheses straight a minus straight b close parentheses close square brackets end style over denominator sin begin display style left parenthesis end style begin display style straight x end style begin display style plus end style begin display style straight b end style begin display style right parenthesis end style end fraction dx
integral open parentheses fraction numerator cos begin display style left parenthesis end style begin display style straight x end style begin display style plus end style begin display style straight b end style begin display style right parenthesis end style begin display style cos end style begin display style left parenthesis end style begin display style straight a end style begin display style minus end style begin display style straight b end style begin display style right parenthesis end style begin display style plus end style begin display style sin end style begin display style left parenthesis end style begin display style straight x end style begin display style plus end style begin display style straight b end style begin display style right parenthesis end style begin display style sin end style begin display style left parenthesis end style begin display style straight a end style begin display style minus end style begin display style straight b end style begin display style right parenthesis end style over denominator sin begin display style left parenthesis end style begin display style straight x end style begin display style plus end style begin display style straight b end style begin display style right parenthesis end style end fraction close parentheses dx
integral open parentheses fraction numerator cos left parenthesis straight x plus straight b right parenthesis cos left parenthesis straight a minus straight b right parenthesis over denominator sin left parenthesis straight x plus straight b right parenthesis end fraction plus fraction numerator sin left parenthesis straight x plus straight b right parenthesis sin left parenthesis straight a minus straight b right parenthesis over denominator sin left parenthesis straight x plus straight b right parenthesis end fraction close parentheses dx
integral open parentheses cot left parenthesis straight x plus straight b close parentheses cos left parenthesis straight a minus straight b right parenthesis plus sin left parenthesis straight a minus straight b right parenthesis right parenthesis dx
Now space you space can space integrate space it space further. end style

Answered by Sneha shidid | 7th Dec, 2017, 02:25: PM