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Evaluate the following integrals: int ta...

Evaluate the following integrals:
`int tan^-1(cosecx-cotx)dx, -piltxltpi`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals: int (sinx+cosx)/(sqrt(1+sin2x)) dx, ...

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  2. Evaluate the following integrals: int (cosx-sinx)/(sqrt(1-sin2x)) dx, ...

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  3. Evaluate the following integrals: int tan^-1(cosecx-cotx)dx, -piltxltp...

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  4. Evaluate the following integrals: int tan^-1(cosecx+cotx)dx, 0<x<2pi

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  5. Evaluate the following integrals: int sinx sqrt(1-cos2x) dx, -piltxltp...

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  6. Evaluate the following integrals: int (dx)/(sqrt(a-bx^2)), where a,b>0

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  7. Evaluate the following integrals: int(cotx/sinx-tanx/cosx+2/cos^2x-tan...

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  8. Evaluate the following integrals: int 1/(sqrt(2x+3)-sqrt(2x)) dx

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  9. Evaluate the following integrals : intdx/((sqrt(x+a) + sqrt(x+b))

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  10. Evaluate the following integrals : int1/(sqrt(x)-x)dx

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  11. Evaluate the following integrals: int (x+1)/(sqrt(2x-1))dx.

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  12. Evaluate the following integrals: int xsqrt(x+2) dx

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

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  14. Evaluate the following integrals: int x^3/(1-x) dx

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  15. Evaluate the following integrals: int (x^n-1)/(x) dx, n in N.

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  16. Evaluate the following integrals: int x^6/(x-1)dx

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  17. Evaluate the following integrals: int cos^3 x dx.

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  18. Evaluate the following integrals: int sin^2x cos^2x dx

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  19. Evaluate the following integrals: int (sin^4x+cos^4x)dx.

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  20. Evaluate the following integrals: int(sin^6x dx)

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