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Compute the following integrals: intta...

Compute the following integrals:
`inttan^3 x dx`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Compute the following integrals: intsin^3xcos^3x dx

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  2. Compute the following integrals: intsinxsin(cosx)dx

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  3. Compute the following integrals: inttan^3 x dx

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  4. Compute the following integrals: inttan^4xdx

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  5. Compute the following integrals: intsec x log (sec x + tanx)dx

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  6. Compute the following integrals: int(1)/(1-tanx)dx

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  7. Compute the following integrals: int(1)/(1+cotx)dx

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  8. Compute the following integrals: int(1)/(1-cotx)dx

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  9. Compute the following integrals: int(1+tanx)/(x+logsecx)dx

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  10. Compute the following integrals: int(1+cotx)/(x+logsinx)dx

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  11. Compute the following integrals: int(sin2x)/(sin4x)dx

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  12. Compute the following integrals: inte^(3logx)(x^4+1)^(-1)dx

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  13. Compute the following integrals: int(dx)/(x^2(x^4+1)^(3//4

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  14. Compute the following integrals: int(sin2x)/(a+bcosx)^2 dx

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  15. Compute the following integrals: int(sqrt(tanx))/(sinxcosx)dx

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  16. Compute the following integrals: int(sin(tan^-1 x))/(1+x^2) dx

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  17. Compute the following integrals: int(sinx)/(sin(x-alpha))dx

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  18. Compute the following integrals: int(sinx)/(sin(x-alpha))dx

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  19. Compute the following integrals: int(sin(x+alpha))/(sin(x-alpha))dx

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  20. Compute the following integrals: int(1)/(sin(x-a) cos (x-b))dx

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