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प्रश्न
Integrate the following functions w.r.t. x : `sin(x - a)/cos(x + b)`
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उत्तर
Let I = `intsin(x - a)/cos(x + b).dx`
= `int(sin[(x + b) - (a + b)])/cos(x + b).dx`
= `int[sin(x + b) cos(a + b) - cos(x + b)sin(a + b))/cos(x + b).dx`
= `int[(sin(x + b) cos(a + b))/cos(x + b) - (cos(x + b)sin(a + b))/cos(x + b)].dx`
= `cos (a + b) int tan (x + b) dx - sin (a + b) int 1dx`
= cos (a + b) log | sec (x + b) | – x sin (a + b) + c.
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