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How do we solve the equation: ∫(1+cosx)/(x+sinx)dxHelp would be appreciated

How do we solve the equation: ∫(1+cosx)/(x+sinx)dxHelp would be appreciated

Grade:12

1 Answers

Arun
25763 Points
3 years ago
let x + sinx = t
hence (1 + cosx) dx = dt
now we can write as
dt/t
when integrating we get
ln t
now replace t by (x + sinx)
so answer is
ln (x + sinx)
 

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