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int (a+sqrt x)^n /sqrtxdx, n ne -1...

`int (a+sqrt x)^n /sqrtxdx, n ne -1`

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If int (x+sqrt(1+x^(2)))^(n)dx . =(1)/(a(n+1)){x+sqrt(1+x^(2))}^(n+1)+(1)/(-b(n-1)){x+sqrt(1+x^(2))}^(n-1)+C Then (a+b) is equal to

PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate int e^(tan^-1x)/(1+x^2) dx

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  2. Evalualte : int cosec^3xdx.

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  3. int (a+sqrt x)^n /sqrtxdx, n ne -1

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  4. Evaluate the following integrals: int cos (logx)dx

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  5. We know that x^3 is the integral of 3x^2 Taking 3x^2 as 3x xx x, verif...

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  6. Taking sin x as sin x. I, integrate by parts, Use this to find int x c...

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  7. Find the following integrals int e^(x)(sinx+cosx)dx

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  8. Evaluate the following integrals: int e^x(cotx-cosec^2x)dx

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

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

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  11. Evaluate the following integrals: int e^x(1/x^2-2/x^3)dx

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  12. Evaluate the following integrals: int e^(2x) ((2x-1)/(4x^2))dx

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

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

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  15. Evaluate the following integrals: int((2+sin2x)/(1+cos2x))e^x dx

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  16. Evaluate the following integrals: int ((x-sinx)/(1-cosx))dx.

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

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

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  19. Evaluate the following integrals: int ((x+3)e^x)/((x+5))^3 dx

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  20. Evaluate the following integrals: int e^(x)((x^(2)+1)/((x+1)^(2)))

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