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CBSE Class 12-science Answered

Find the integral of the function  w. r. to x.
Asked by Topperlearning User | 28 Oct, 2016, 01:07: AM
answered-by-expert Expert Answer

integral cos e c to the power of 4 x d x
equals integral cos e c squared x cos e c squared x d x
equals integral left parenthesis 1 plus c o t squared x right parenthesis cos e c squared x d x
l e t space c o t x equals z rightwards double arrow negative cos e c squared x d x equals d z
i n t e g r a l space b e c o m e s
equals negative integral left parenthesis 1 plus z squared right parenthesis d z
equals negative open parentheses z plus z cubed over 3 close parentheses plus C
equals negative open parentheses c o t x plus fraction numerator c o t cubed x over denominator 3 end fraction close parentheses plus C

Answered by | 28 Oct, 2016, 03:07: AM
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