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Compute the following integrals: int((...

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

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals : int e^(x)cosec^(2)(e^(x))dx

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  2. Compute the following integrals: int((x+1)e^x)/(cos^2(xe^x))dx

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

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

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  5. Compute the following integrals: int(e^(sin^-1x))/(sqrt(1-x^2))dx

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  6. Evaluate the following integrals : int (sec^(2)(2tan^(-1)x))/(1+x^(2))...

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  7. Compute the following integrals: int(logx)/x dx

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  8. Evaluate the following integrals : int ((logx)^(2))/x dx

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  9. Evaluate the following integrals : int ((x+1)(x+logx)^(2))/x dx

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  10. Compute the following integrals: int(sin(logx))/(x) dx

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  11. Compute the following integrals: int(logx(sin[1+(logx)^2])/(x) dx

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  12. Compute the following integrals: int2x sec^3(x^2+3)tan(x^2+3)dx

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  13. Compute the following integrals: intx^2e^(x^3) cos e^(x^3) dx

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  14. Compute the following integrals: int(cos x - sinx)/(sqrt(1+sin2x))dx

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  15. Compute the following integrals: intcos5xdx

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  16. Evaluate the following integrals : int (cosx-sinx)/(1+sin2x)

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  17. Compute the following integrals: int(1)/(3cosx+4sinx)dx

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  18. Compute the following integrals: int(sin2x)/(a^2sin^2x+b^2cos^2x)dx

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  19. Prove that : int (tanalpha - tanx)/(tanalpha+tanx)dx = sin 2 a log |si...

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  20. Evaluate the following integrals: intsinxdx

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