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CBSE Class 12-science Answered

Integration of sin9x upon sinx 
question image
Asked by rockabhiiit | 29 Dec, 2020, 12:41: PM
answered-by-expert Expert Answer
Use this integration
begin mathsize 16px style straight I equals integral fraction numerator cos to the power of 9 straight x over denominator sinx end fraction dx
straight I equals integral fraction numerator cos to the power of 8 xcosx over denominator sinx end fraction dx
straight I equals integral fraction numerator left parenthesis 1 minus sin squared straight x right parenthesis to the power of 4 cosxdx over denominator sinx end fraction
sinx equals straight t
cosxdx equals dt
straight I equals integral fraction numerator open parentheses 1 minus straight t squared close parentheses to the power of 4 dt over denominator straight t end fraction

Integrate space it space further. end style
Answered by Renu Varma | 30 Dec, 2020, 12:05: PM
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