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Grade 12Integral Calculus

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

Profile image of Vishakha
8 Years agoGrade 12
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1 Answer

Profile image of Arun
8 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)