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CBSE Class 12-science Answered

Integration e2x cos ( 3x + 4) dx explain in great detail
Asked by haroonrashidgkp | 24 Oct, 2018, 07:58: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight e to the power of 2 straight x end exponent cos left parenthesis 3 straight x space thin space plus 4 right parenthesis dx straight I equals cos left parenthesis 3 straight x space thin space plus 4 right parenthesis integral straight e to the power of 2 straight x end exponent dx minus integral open parentheses straight d over dx cos left parenthesis 3 straight x space thin space plus 4 right parenthesis integral straight e to the power of 2 straight x end exponent dx close parentheses dx straight I equals straight e to the power of 2 straight x end exponent over 2 cos left parenthesis 3 straight x space thin space plus 4 right parenthesis minus integral negative fraction numerator sin left parenthesis 3 straight x plus 4 right parenthesis over denominator 3 end fraction cross times straight e to the power of 2 straight x end exponent over 2 dx straight I equals straight e to the power of 2 straight x end exponent over 2 cos left parenthesis 3 straight x space thin space plus 4 right parenthesis plus 1 over 6 integral sin left parenthesis 3 straight x plus 4 right parenthesis cross times straight e to the power of 2 straight x end exponent dx Integrating space it space further space using space by space parts space we space get space the space integral space same space as space the space question. Solve space it space further. end style
Answered by Sneha shidid | 25 Oct, 2018, 10:11: AM

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CBSE 12-science - Maths
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