Integrate Using Substitution (int_{?}^{?}sec(sin

Anonymous

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Integrate using substitution (int_{?}^{?}sec(sinx)tan(sinx)cos(x)dx )

 

Answer No.1

Ahmad Abdulaziz

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Let sinx = y cosx dx = dy integral[ secy tany ]dy = secy + C =sec(sinx) + C

Answer No.2

Anonymous

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Sec^2(sin x)) =z so sec(sin x) .tan (sin x) . cos x dx =dz s0 I=int(dz) = z=sec^2(sin x) so I= sec^2(sinx)

Answer No.3

Anonymous

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Sec(sin x)) =z so sec(sin x) .tan (sin x) . cos x dx =dz s0 I=int(dz) = z=sec(sin x) so I= sec(sinx)

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