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Integrate this question and make the solution in a detailed way

Integrate this question and make the solution in a detailed way 

Question Image
Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
we can write it as Integration of 2 sinx cosx dx/ (sin^2x +1) (sin^2 x + 3)
 
let sin^2 x = t
2 sinx cos x dx = dt
 
dt/(t+1) (t+ 3) = (½)[ 1/t+1 – 1/t+3] dt
 
 = ½ [ ln {(t+1) /(t+3) } ] = ½ [ ln{(sin^2 x + 1)/(sin^2 x+3)}]
 
 

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