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CBSE Class 12-science Answered

Integration e2x sin 2xdx/2 explain in great detail
Asked by haroonrashidgkp | 24 Oct, 2018, 07:57: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight e to the power of 2 straight x end exponent sin 2 straight x over denominator 2 end fraction dx
straight I equals 1 half integral straight e to the power of 2 straight x end exponent sin 2 xdx
straight I equals 1 half open square brackets sin 2 straight x integral straight e to the power of 2 straight x end exponent dx minus integral open parentheses straight d over dx sin 2 straight x integral straight e to the power of 2 straight x end exponent dx close parentheses dx close square brackets
straight I equals 1 half open square brackets straight e to the power of 2 straight x end exponent over 2 sin 2 straight x minus integral open parentheses 2 cos 2 straight x straight e to the power of 2 straight x end exponent over 2 close parentheses dx close square brackets
straight I equals 1 half open square brackets straight e to the power of 2 straight x end exponent over 2 sin 2 straight x minus integral open parentheses cos 2 straight x space straight e to the power of 2 straight x end exponent close parentheses dx close square brackets
If space you space integrate space it space further space you space will space get space integral space same space as space question.
It space shows space repeated space integral space then space substitute space it space as space straight I space and space solve space it space further. end style
Answered by Sneha shidid | 25 Oct, 2018, 09:50: AM
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