Integral of  sin 3x/4×cos x/2 dx

Asked by nikhileshjal76 | 29th Aug, 2019, 11:11: PM

Expert Answer:

begin mathsize 16px style straight I equals integral sin fraction numerator 3 straight x over denominator 4 end fraction cos straight x over 2 dx end style
begin mathsize 16px style straight I equals 1 half integral 2 sin fraction numerator 3 straight x over denominator 4 end fraction cos straight x over 2 dx end style
begin mathsize 16px style straight I equals 1 half integral open parentheses sin fraction numerator 5 straight x over denominator 4 end fraction plus sin straight x over 4 close parentheses dx end style
begin mathsize 16px style straight I equals 1 half open parentheses fraction numerator negative cos begin display style fraction numerator 5 straight x over denominator 4 end fraction end style over denominator begin display style 5 over 4 end style end fraction minus fraction numerator cos begin display style straight x over 4 end style over denominator begin display style 1 fourth end style end fraction close parentheses plus straight c end style
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Answered by Sneha shidid | 30th Aug, 2019, 09:37: AM