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Evaluate (i) inttan^(3//2)xsec^2x\ dx (i...

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

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RD SHARMA ENGLISH-INDEFINITE INTEGRALS-All Questions
  1. Evaluate: int1/(sqrt(tan^(-1)x)(1+x^2))\ dx

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

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

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

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

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

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

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

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

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

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

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

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  13. Evaluate: (i) int2xsec^3(x^2+3)tan(x^2+3)\ dx (ii) int((x+1)/x)(x+log...

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  14. Evaluate: (i) inttanxsec^2x\ sqrt(1-tan^2x)\ dx (ii) intlogx\ (sin{1+...

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  15. Evaluate: (i) int1/(x^2)cos^2(1/x)\ dx (ii) intsec^4xtanx\ dx

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  16. Evaluate: (i) int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x))\ dx (ii) int(...

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  17. Evaluate: (i) int(sinsqrt(x))/(sqrt(x))\ dx (ii) int((x+1)e^x)/(sin^2(...

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  18. Evaluate: (i) int5^x+tan^((-1)x)((x^2+2)/(x^2+1))\ dx (ii) int(e^msin^...

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  19. Evaluate: (i) int(cossqrt(x))/(sqrt(x))\ dx (ii) int(sin(tan^(-1)x)/(1...

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  20. Evaluate: (i) int(sin(logx)/x\ dx (ii) int(e^mtan^((-1)x))/(1+x^2)\ dx

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