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Evaluate the following integrals : int(d...

Evaluate the following integrals : `int(dx)/(xsqrt(ax-x^2))`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Integrate the function: 1/(x-x^3)

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  2. Integrate the function: 1/(sqrt(x+a)+sqrt(x+b))

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  3. Evaluate the following integrals : int(dx)/(xsqrt(ax-x^2))

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  4. Integrate the following functions w.r.t. x, 1/(x^2(x^4+1)^(3/4))

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  5. Integrate the following functions w.r.t. x, 1/x^(1/2)+x^(1/3)

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  6. Integrate the following functions w.r.t. x, 1/(x^2(x^4+1)^(3/4))

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  7. Integrate the following functions w.r.t. x, (sinx)/(sin(x-a)

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  8. Integrate the function: (e^(5logx) - e^(4logx))/(e^(3logx)-e^(2logx))

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  9. Integrate the following functions w.r.t. x, (cosx)/(sqrt(4-sin^2x))

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  10. Integrate the following functions w.r.t. x, (sin^8-cos^8x)/(1-2sin^2xc...

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  11. Compute the following integrals: int(1)/(cos(x+a)cos(x+b))dx

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  12. Integrate the following functions w.r.t. x, x^3/sqrt(1-x^8)

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  13. Integrate the following functions w.r.t. x, e^x/((1+e^x)(2+e^x))

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  14. Integrate the function: 1/((x^2+1)(x^2+4))

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  15. Differentiate the following functions w.r.t.x : e^x cos^3 x sin^4 x

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

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  17. Integrate the function: f'(ax + b) [f (ax + b)]^n

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  18. Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.

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  19. Integrate the function: (sin^(-1)sqrtx-cos^(-1)sqrtx)/(sin^(-1)sqrtx+c...

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  20. Integrate the function: sqrt((1-sqrtx)/(1+sqrtx)

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