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CBSE Class 12-science Answered

Integration sin x sin 2x sin 3x dx explain in great detail
Asked by haroonrashidgkp | 06 Oct, 2018, 11:18: PM
answered-by-expert Expert Answer
begin mathsize 18px style Now comma sinx space sin 3 straight x space equals space 1 half open square brackets cosx space minus space cos 3 straight x close square brackets thus integral sinx. sin 2 straight x. sin 3 straight x space dx equals 1 half integral open square brackets cosx space minus space cos 3 straight x close square brackets sin space 3 straight x space dx straight I subscript 1 equals integral cosx space sin 3 straight x space dx equals 1 half integral open parentheses sin 4 straight x space plus space sin 2 straight x close parentheses dx similarly straight I subscript 2 equals 1 half integral open parentheses sin 6 straight x close parentheses dx straight I equals 1 fourth integral open parentheses sin 4 straight x space plus space sin 2 straight x close parentheses dx minus integral left parenthesis sin 6 straight x right parenthesis dx straight I equals 1 fourth open square brackets fraction numerator negative cos space 4 straight x over denominator 4 end fraction plus fraction numerator cos space 2 straight x over denominator 2 end fraction plus fraction numerator cos space 6 straight x over denominator 6 end fraction close square brackets plus straight c end style
Answered by Arun | 08 Oct, 2018, 11:20: AM

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CBSE 12-science - Maths
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