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CBSE Class 12-science Answered

Can you send me the solution of 31,32,33,34
question image
Asked by divakar_sabu | 15 Dec, 2018, 01:29: PM
answered-by-expert Expert Answer
Please send one question in one posting. So only first question is solved here
 
begin mathsize 12px style I space equals space integral e to the power of 2 x end exponent sin space x space d x
L e t space u space equals space sin x space comma space t h e n space d u space equals space cos x space d x space space semicolon space space l e t space d v space equals space e to the power of 2 x end exponent d x space comma space t h e n space v space equals space 1 half e to the power of 2 x end exponent
I space equals 1 half space open parentheses e to the power of 2 x end exponent sin space x close parentheses space minus space 1 half integral e to the power of 2 x end exponent cos x space d x
l e t space u space equals space cos x comma t h e n space d u space equals space minus sin x space d x space semicolon space l e t space d v space equals space e to the power of 2 x end exponent d x space comma space t h e n space v space equals space e to the power of 2 x end exponent over 2 to the power of space
I space equals space 1 half space open parentheses e to the power of 2 x end exponent sin space x close parentheses space minus space 1 half open square brackets 1 half open parentheses e to the power of 2 x end exponent cos x close parentheses space plus 1 half integral space e to the power of 2 x end exponent sin x space d x close square brackets
I space equals space 1 half open parentheses e to the power of 2 x end exponent sin space x close parentheses space minus space 1 fourth open parentheses e to the power of 2 x end exponent cos x close parentheses space minus 1 fourth I
A f t e r space s i m p l i f i c a t i o n space o f space a b o v e space e q n. comma space w e space g e t comma space space I space equals space e to the power of 2 x end exponent over 5 open parentheses 2 space sin space x space minus space cos space x close parentheses end style
Answered by Thiyagarajan K | 15 Dec, 2018, 02:53: PM
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