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Evaluate: (i) int(logx)/x\ dx (ii) int(l...

Evaluate: (i) `int(logx)/x\ dx` (ii) `int(log(1+1/x))/(x(1+x))\ dx`

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: intx/(x-sqrt(x^2-1))dx

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  2. Evaluate: int(cos^3x)/(sin^2x+sinx)dx

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  3. Evaluate: (i) int(logx)/x\ dx (ii) int(log(1+1/x))/(x(1+x))\ dx

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  4. Evaluate: intsqrt(1+e^x)\ e^x\ dx

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  5. Evaluate: int(e^x)/((1+e^x)^2)\ dx

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  6. Evaluate: (i) intcot^3x\ cos e c^2x\ dx (ii) int({e^sin^((-1)x)}^2)/(s...

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  7. Evaluate: int1/(sqrt(1-x^2)(sin^(-1)x)^2)\ dx

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  8. Evaluate: (i) int(cotx)/(sqrt(sinx)\ )\ dx (ii) int(tanx)/(sqrt(cosx))...

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  9. Evaluate: (i) int(cos^3x)/(sqrt(sinx))\ dx (ii) int(sin^3x)/(sqrt(cosx...

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  10. Evaluate: int1/(sqrt(tan^(-1)x)(1+x^2))\ dx

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  11. Evaluate: (i) int1/x(logx)^2\ dx (ii) intsin^5xcosx\ dx

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  12. Evaluate (i) inttan^(3//2)xsec^2x\ dx (ii) int(x^3)/((x^2+1)^3)\ dx

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  13. Evaluate: (i) int(4x+2)sqrt(x^2+x+1)\ dx (ii) int(4x+3)/(sqrt(2x^2+3x+...

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  14. Evaluate: (i) int1/(1+sqrt(x))\ dx (ii) inte^cos^(2x)sin2x\ dx

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  15. Evaluate: int(cosx-sinx)/(1+sin2x)\ dx

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  16. Evaluate: (i) int(sin2x)/((a+bcos2x)^2)\ dx (ii) int(logx^2)/x\ dx

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  17. Evaluate: (i) int(sinx)/((1+cosx)^2)\ dx (ii) intcotxlogsinx\ dx

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  18. Evaluate: (i) intsecxlog(secx+tanx)\ dx (ii) intcos e c\ xlog(cos e c...

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  19. Evaluate: (i) intx^3cosx^4\ dx (ii) intx^3sinx^4\ dx

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  20. Evaluate: (i) int(xsin^(-1)x^2)/(sqrt(1-x^4))\ dx (ii) intx^3sin(x^4+1...

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