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CBSE Class 12-science Answered

49th sum
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Asked by lovemaan5500 | 10 Feb, 2020, 11:51: PM
answered-by-expert Expert Answer
integration of (sinx + cosx)dx/√(9 + 16sin2x)
 
begin mathsize 16px style straight I equals integral fraction numerator sinx plus cosx over denominator square root of 9 plus 16 sin 2 straight x end root end fraction dx end style
cosx - sinx = t → -(sinx + cosx)dx = dt
(cosx - sinx)= t2
cos2 x + sin2 x - 2sinxcosx = t2
1 - sin2x = t2 
sin2x = 1 - t2 
begin mathsize 16px style straight I equals integral fraction numerator negative dt over denominator square root of 9 plus 16 open parentheses 1 minus straight t squared close parentheses end root end fraction equals negative integral fraction numerator dt over denominator square root of 25 minus 16 straight t squared end root end fraction end style
Integrate it further using appropriate formula.
Answered by Sneha shidid | 11 Feb, 2020, 10:00: AM
CBSE 12-science - Maths
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integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
Asked by Prajapatiraj770 | 09 Jun, 2021, 09:25: AM
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