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CBSE Class 12-science Answered

Prove that begin mathsize 20px style integral e to the power of 2 x end exponent sin x cos x d x equals 1 over 8 e to the power of 2 x end exponent open parentheses sin 2 x minus cos 2 x close parentheses plus c end style
Asked by sunil2791 | 26 May, 2017, 01:04: 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 sinxcosxdx straight I equals 1 half integral 2 straight e to the power of 2 straight x end exponent sinxcosxdx straight I equals 1 half integral straight e to the power of 2 straight x end exponent sin 2 xdx Put space 2 straight x equals straight t dx equals dt over 2 straight I equals 1 fourth integral straight e to the power of straight t sintdt Using space integration space by space parts space solve space it space further. we space will space appreciate space if space you space solve space it space and space post space it space to space us. end style
Answered by Sneha shidid | 26 May, 2017, 04:49: PM

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CBSE 12-science - Maths
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