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If int(2e^(5x)+e^(4x)-4e^(3x)+2e^(x))/((...

If `int(2e^(5x)+e^(4x)-4e^(3x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx=tan^(-1)(e^(x//2))-(K)/((e^(2x-1)))+C` then K is equal to

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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-SOLVED EXAMPLE ( NUMERICAL ANSWER TYPE QUESTION )
  1. If int(x^(2)-x^(3))/(x^(3)-2x^(2)-x+2)dx=Alog(c|((x+1))/(x-2)^(4)|) ...

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  2. If int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1))dx is equal to Atan^(-1)((1)/(...

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  3. If the graph of the antiderivative F(x) of f(x) = log(log x) + (log x)...

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  4. If int(cos^(2)x+sin2x)/((2cosx-sinx))dx=(-A)/(25)x-(2)/(5)log|2cosx-si...

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  5. If int(2e^(5x)+e^(4x)-4e^(3x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx=tan...

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  6. If int(x^(3))/(4+x^(16))dx=(A)/(8)tan^(-1)(z)/(sqrt(2))-(1)/(64)log |(...

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  7. If int(cos^(2)xsinx)/(sinx-cosx)dx=A log|sinx-cosx|+(1)/(8)(sin2x+cos2...

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  8. If I = int(sinx(cosx)^(-5//2)dx)/(sqrt(sinx+3cosx)+sqrt(sinx+4cosx)) ...

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  9. If int(cos^(3)xdz)/((sin^(4)+x+3sin^(2)x+1)tan^(-1)(sinx+cosec x))=-...

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  10. I=(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx (4)/(5)Alog|sqrt(2xe^(sin...

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  11. I=int(dx)/(2xsqrt(1-x)sqrt(2-x+sqrt(1-x)))=-(1)/(2sqrt(3))log|u+(1)/(2...

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  12. If I = int(dx)/(1+sqrt(x^(2)+2x+2))=(5)/(8)Alog|x+1+sqrt(x^(2)+2x+2)|-...

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  13. If intsqrt(1+3sqrt(x))/(3sqrt(x^(2)))dx=2f(x)+C, then f(27) is equal t...

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  14. If I = int(sqrt(cot)x-sqrt(tan)x)/(1+3sin2x)dx=Atan^(-1)((sqrt(tan)x+s...

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  15. If . int(cos^(2)xsinx)/(sinx-cosx)dx=Alog|sinx-cosx|+(1)/(8)(sin2x+cos...

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  16. If I=int(cos^(3)xdx)/((sin^(4)x+3sin^(2)x+1)tan^(-1)(sinx+cosecx)) =...

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