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प्रश्न
Evaluate the following:
`int ((1 + cosx))/(x + sinx) "d"x`
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उत्तर
Let I = `int (1 + cosx)/(x + sinx) "d"x`
Put x + sin x = t
⇒ (1 + cos x)dx = dt
∴ I = `int 1/"t" "dt"`
= `log|"t"| + "C"`
= `log |x + sin x| + "C"`
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