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CBSE Class 12-commerce Answered

Integrate (sin³x+cos³x÷sin²x.cos²x)
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Asked by anshulkhurra444 | 20 Feb, 2019, 01:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style I space equals space integral fraction numerator sin to the power of 6 x space plus space cos to the power of 6 x over denominator sin squared x space cos squared x end fraction d x space space
sin to the power of 6 x space plus space cos to the power of 6 x space equals space open parentheses space sin squared x space plus space cos squared x space close parentheses cubed space minus space 3 space sin squared x space cos squared x space left parenthesis sin squared x space plus space cos squared x right parenthesis space equals space 1 space minus space 3 space sin squared x space cos squared x
I space equals space integral fraction numerator 1 space minus space 3 space sin squared x space cos squared x over denominator sin squared x space cos squared x end fraction d x space equals space integral fraction numerator d x over denominator sin squared x space cos squared x end fraction space minus space 3 integral d x
I space equals space integral fraction numerator 4 d x over denominator begin display style open parentheses sin begin display style 2 end style begin display style x end style close parentheses squared end style end fraction space minus space 3 integral d x space equals space 2 integral cos e c squared 2 x space d left parenthesis 2 x right parenthesis minus 3 integral d x space equals space minus 2 c o t left parenthesis 2 x right parenthesis minus 3 x space plus C end style
Answered by Thiyagarajan K | 20 Feb, 2019, 03:06: PM
CBSE 12-commerce - Maths
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