Integration 1/(sin x +?3 cos x) dx
Answers
Answered by
1
here ,
∫dx/(sinx + 3cosx)
⇒∫dx/√(1²+3²)sin(x + tan⁻¹(3))
⇒1/√10.∫cosec{x + tan⁻¹(3)}.dx
⇒-1/√10.㏑[cosec{x +tan⁻¹(3)} + cot{x +tan⁻¹(3)}] + C
∫dx/(sinx + 3cosx)
⇒∫dx/√(1²+3²)sin(x + tan⁻¹(3))
⇒1/√10.∫cosec{x + tan⁻¹(3)}.dx
⇒-1/√10.㏑[cosec{x +tan⁻¹(3)} + cot{x +tan⁻¹(3)}] + C
Similar questions