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Evaluate: (i) int(e^x+1)/(e^x+x)\ dx (ii...

Evaluate: (i) `int(e^x+1)/(e^x+x)\ dx` (ii) `int1/(xlogx)\ dx`

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: (i) int(secxtanx)/(3secx+5)\ dx (ii) int(1-cotx)/(1+cotx)\ d...

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  2. Evaluate: (i) int(secx\ cos e c\ x)/(log(tanx)\ dx (ii) int1/(x\ (3+lo...

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  3. Evaluate: (i) int(e^x+1)/(e^x+x)\ dx (ii) int1/(xlogx)\ dx

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  4. Evaluate: (i) int(sin2x)/(acos^2x+bsin^2x)\ dx (ii) int(cosx)/(2+3sinx...

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  5. Evaluate: (i) int(1-sinx)/(x+cosx)\ dx

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  6. Evaluate: (i) int1/(e^x+1)\ dx (ii) int(cotx)/(logsinx)\ dx

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  7. Evaluate: (i) int(e^(2x))/(e^(2x)-2)\ dx

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  8. Evaluate: (i) int(sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/(...

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  9. Evaluate: (i) int(secx)/(log(secx+tanx)\ dx (ii) int(cos e c\ x)/(logt...

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  10. Evaluate: (i) int1/(xlogxlog(logx)\ dx (ii) int(cos e c^2x)/(1+cotx)\ ...

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  11. Evaluate: (i) int(x+1)/(x\ (x+logx)\ dx (ii) int1/(sqrt(1-x^2)(2+3sin^...

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  12. Evaluate: (i) int(sec^2x)/(tanx+2)\ dx (ii) int(2cos2x+sec^2x)/(sin2x+...

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  13. Evaluate: (i) int(sin2x)/(sin5xsin3x)\ dx (ii) int(1+cotx)/(x+logsinx)...

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  14. Evaluate: (i) int1/(sqrt(x)(sqrt(x)+1))\ dx (ii) inttan2xtan3xtan5x\ d...

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  15. Evaluate: (i) int{1+tanxtan(x+theta)}\ dx (ii) int(sin2x)/(sin(x-pi/6...

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  16. Evaluate: int1/(cos3x-cosx)\ dx

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  17. Evaluate: (i) int(3x+1)/((3x^2+2x+1)^3)\ dx (ii) intsin^3xcosx\ dx

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  18. Evaluate: (i) inttan^3xsec^2x\ dx (ii) int((logx)^3)/x\ dx

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  19. Evaluate: (i) int((1+logx)^2)/x\ dx (ii) int(sec^2(2tan^(-1)x))/(1+x^2...

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  20. Evaluate: (i) int(tanxsec^2x)/((a+btan^2x)^2)\ dx (ii) intsec^3xtanx\ ...

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