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CBSE Class 12-science Answered

:- Integration.

1.    ƒ dx/x2+2x+2,

2.    ƒ(x+3)/x2-2x-5

3.   ƒ[ex(1+x)/cos2 (xex)]dx  ,Let xex=t

4.   ƒ [cosec2(logx)/x]dx

5.   ƒ [x3sin(tan-1x4)/(1+x8)]dx

Asked by pramodtalukdar | 15 Sep, 2016, 09:41: AM
answered-by-expert Expert Answer
begin mathsize 16px style integral fraction numerator dx over denominator square root of straight x squared plus 2 straight x plus 2 end root end fraction
equals integral fraction numerator dx over denominator square root of straight x squared plus 2 straight x plus 1 plus 2 minus 1 end root end fraction... left parenthesis Add space and space subtract space 1 space to space complete space the space squares right parenthesis
equals integral fraction numerator dx over denominator square root of left parenthesis straight x plus 1 right parenthesis squared plus 1 end root end fraction
equals ln open square brackets open parentheses straight x plus 1 close parentheses plus square root of left parenthesis straight x plus 1 right parenthesis squared plus 1 end root close square brackets plus straight C
end style
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